SlideShare une entreprise Scribd logo
1  sur  11
Télécharger pour lire hors ligne
Permutations ...   continued ...


                      At the end of this class answer the question:
                      Why did we start by looking at this picture?




                      Sonicwall
(a) How many numbers of 5 different digits each can be formed from
the digits 0, 1, 2, 3, 4, 5, 6?




 (b) How many of these numbers are even?


  not zero




  (c) How many of these numbers are divisable by 5?    verify this result
How many phone numbers can be made under the following conditions:
(First digit cannot be 0 or 1 because you'll get the operator or long distance.)
 • The first two digits are 3 followed by 6
 • The third digit is even
 • The fourth digit is greater than 5
 • The fifth and seventh digits are odd
 • The sixth digit is 2
Permutation: An ordered arrangement of objects without repetition.


   Formula:                        A.K.A the quot;Pickquot; formula.


       n is the number of objects to pick from
       r is the number of objects to be arranged
           is read as quot;n pick rquot;
        means: Given a set of n objects, how many ordered
       arrangements can be made using only r of them at a time?
   Example: There are 8 horses in a race. In how many ways can three of them
   finish first, second and third?
  Solution by the Fundamental          Solution as a Permutation
  Principle of Counting

      8 • 7 • 6 = 336
     1st    2nd 3rd
Pre-Cal 40S Slides November 27, 2007
How many ways can the batting order of a 9-member softball team be listed?
A 120-room hotel has reservations from 6 guests for 6 different rooms. In how
many ways can the rooms be assigned?
How many different quot;wordsquot; can you make from the letters in the word
BOOK?
Pre-Cal 40S Slides November 27, 2007
Permutations of Non-Distinguishable Objects
The number of ways to arrange n objects that contain
sets of non-distinguishable objects is given by:




 Example: How many different quot;wordsquot; can be made form the letters in
 the word: (a) BOOK                (b) MISSISSIPPI

                                     # of I's = 4
 # of O's = 2 ∴
                                     # of S's = 4
                                     # of P's = 2 ∴
How many different quot;wordsquot; can you make from the letters in the word
STATISTICS?

Contenu connexe

Tendances

Counting Technique, Permutation, Combination
Counting Technique, Permutation, CombinationCounting Technique, Permutation, Combination
Counting Technique, Permutation, CombinationChie Pegollo
 
11.1 combination and permutations
11.1 combination and permutations11.1 combination and permutations
11.1 combination and permutationsMark Ryder
 
Permutations and combinations examples
Permutations and combinations examplesPermutations and combinations examples
Permutations and combinations examplesLeo Crisologo
 
Permutation and combination
Permutation and combinationPermutation and combination
Permutation and combinationArijit Sarkar
 
Notes on permutations and combinations
Notes on permutations and combinationsNotes on permutations and combinations
Notes on permutations and combinationsadeelashiq
 
Permutation and combinations
Permutation and combinationsPermutation and combinations
Permutation and combinationsRushabh Vora
 
permutations power point
permutations power pointpermutations power point
permutations power pointAldrin Balenton
 
11.3 Combinations
11.3 Combinations11.3 Combinations
11.3 CombinationsRyan Pineda
 
Permutation combination
Permutation combinationPermutation combination
Permutation combinationlovemucheca
 
PERMUTATION & COMBINATION
PERMUTATION & COMBINATIONPERMUTATION & COMBINATION
PERMUTATION & COMBINATIONPawan Mishra
 
Counting, pigeonhole, permuntation, Permutations and Combination ,Binomial T...
Counting,  pigeonhole, permuntation, Permutations and Combination ,Binomial T...Counting,  pigeonhole, permuntation, Permutations and Combination ,Binomial T...
Counting, pigeonhole, permuntation, Permutations and Combination ,Binomial T...sheiblu
 
Permutation and combination
Permutation and combinationPermutation and combination
Permutation and combinationSadia Zareen
 
Fundamental counting principle powerpoint
Fundamental counting principle powerpointFundamental counting principle powerpoint
Fundamental counting principle powerpointmesmith1
 
permutation and combination
permutation and combinationpermutation and combination
permutation and combinationMalik Anis
 

Tendances (19)

Counting Technique, Permutation, Combination
Counting Technique, Permutation, CombinationCounting Technique, Permutation, Combination
Counting Technique, Permutation, Combination
 
11.1 combination and permutations
11.1 combination and permutations11.1 combination and permutations
11.1 combination and permutations
 
Permutations
PermutationsPermutations
Permutations
 
tree diagrams
 tree diagrams tree diagrams
tree diagrams
 
Permutations and combinations examples
Permutations and combinations examplesPermutations and combinations examples
Permutations and combinations examples
 
Permutation and combination
Permutation and combinationPermutation and combination
Permutation and combination
 
Notes on permutations and combinations
Notes on permutations and combinationsNotes on permutations and combinations
Notes on permutations and combinations
 
Permutation and combinations
Permutation and combinationsPermutation and combinations
Permutation and combinations
 
permutations power point
permutations power pointpermutations power point
permutations power point
 
11.3 Combinations
11.3 Combinations11.3 Combinations
11.3 Combinations
 
Permutation combination
Permutation combinationPermutation combination
Permutation combination
 
PERMUTATION & COMBINATION
PERMUTATION & COMBINATIONPERMUTATION & COMBINATION
PERMUTATION & COMBINATION
 
Counting, pigeonhole, permuntation, Permutations and Combination ,Binomial T...
Counting,  pigeonhole, permuntation, Permutations and Combination ,Binomial T...Counting,  pigeonhole, permuntation, Permutations and Combination ,Binomial T...
Counting, pigeonhole, permuntation, Permutations and Combination ,Binomial T...
 
Permutation and combination
Permutation and combinationPermutation and combination
Permutation and combination
 
Fundamental counting principle powerpoint
Fundamental counting principle powerpointFundamental counting principle powerpoint
Fundamental counting principle powerpoint
 
Permutation and combination
Permutation and combinationPermutation and combination
Permutation and combination
 
permutation and combination
permutation and combinationpermutation and combination
permutation and combination
 
Permutation
PermutationPermutation
Permutation
 
Combinations
CombinationsCombinations
Combinations
 

En vedette

The Americas
The AmericasThe Americas
The Americasvhclass
 
20130828 unite-win wp-opportunity-jccim
20130828 unite-win wp-opportunity-jccim20130828 unite-win wp-opportunity-jccim
20130828 unite-win wp-opportunity-jccimJc Cimetiere
 
Gamification as umbrella for social media
Gamification as umbrella for social mediaGamification as umbrella for social media
Gamification as umbrella for social mediaMedeMerkers
 
“Gamification” of Social Media
“Gamification” of Social Media“Gamification” of Social Media
“Gamification” of Social MediaLithium
 
History of Social Media by Hook Traffic
History of Social Media by Hook TrafficHistory of Social Media by Hook Traffic
History of Social Media by Hook TrafficHook Traffic
 

En vedette (10)

01 chapter
01 chapter01 chapter
01 chapter
 
INA - novembro de 2011
INA - novembro de 2011INA - novembro de 2011
INA - novembro de 2011
 
The Americas
The AmericasThe Americas
The Americas
 
20130828 unite-win wp-opportunity-jccim
20130828 unite-win wp-opportunity-jccim20130828 unite-win wp-opportunity-jccim
20130828 unite-win wp-opportunity-jccim
 
Logos
LogosLogos
Logos
 
C w3
C w3C w3
C w3
 
Magazine 2
Magazine 2Magazine 2
Magazine 2
 
Gamification as umbrella for social media
Gamification as umbrella for social mediaGamification as umbrella for social media
Gamification as umbrella for social media
 
“Gamification” of Social Media
“Gamification” of Social Media“Gamification” of Social Media
“Gamification” of Social Media
 
History of Social Media by Hook Traffic
History of Social Media by Hook TrafficHistory of Social Media by Hook Traffic
History of Social Media by Hook Traffic
 

Similaire à Pre-Cal 40S Slides November 27, 2007

Pre-Cal 40S Slides April 19, 2007
Pre-Cal 40S Slides April 19, 2007Pre-Cal 40S Slides April 19, 2007
Pre-Cal 40S Slides April 19, 2007Darren Kuropatwa
 
Applied Math 40S February 28, 2008
Applied Math 40S February 28, 2008Applied Math 40S February 28, 2008
Applied Math 40S February 28, 2008Darren Kuropatwa
 
Applied 40S March 10, 2009
Applied 40S March 10, 2009Applied 40S March 10, 2009
Applied 40S March 10, 2009Darren Kuropatwa
 
05 Probability Mar9
05 Probability Mar905 Probability Mar9
05 Probability Mar9ingroy
 
Day 3 examples u7w14
Day 3 examples u7w14Day 3 examples u7w14
Day 3 examples u7w14jchartiersjsd
 
Lecture Week 17 which hleps in study for logic and
Lecture Week 17 which hleps in study for logic andLecture Week 17 which hleps in study for logic and
Lecture Week 17 which hleps in study for logic andmanishhmishra001
 
Worksheet-1PermutationandCombination (1).pdf
Worksheet-1PermutationandCombination (1).pdfWorksheet-1PermutationandCombination (1).pdf
Worksheet-1PermutationandCombination (1).pdfpriyanshurawat89
 
Permutation & combination
Permutation & combinationPermutation & combination
Permutation & combinationAPEX INSTITUTE
 
Unit 1 lesson 1- building number sense: Largest and possible numbers
Unit 1 lesson 1- building number sense: Largest and possible numbersUnit 1 lesson 1- building number sense: Largest and possible numbers
Unit 1 lesson 1- building number sense: Largest and possible numbersReniel Laki
 
Pc12 sol c08_review
Pc12 sol c08_reviewPc12 sol c08_review
Pc12 sol c08_reviewGarden City
 

Similaire à Pre-Cal 40S Slides November 27, 2007 (20)

Pre-Cal 40S Slides April 19, 2007
Pre-Cal 40S Slides April 19, 2007Pre-Cal 40S Slides April 19, 2007
Pre-Cal 40S Slides April 19, 2007
 
scribe post
scribe postscribe post
scribe post
 
Applied 40S March 9, 2009
Applied 40S March 9, 2009Applied 40S March 9, 2009
Applied 40S March 9, 2009
 
Pre-Cal 40S May 4, 2009
Pre-Cal 40S May 4, 2009Pre-Cal 40S May 4, 2009
Pre-Cal 40S May 4, 2009
 
Pre-Cal 40S May 5, 2009
Pre-Cal 40S May 5, 2009Pre-Cal 40S May 5, 2009
Pre-Cal 40S May 5, 2009
 
Applied Math 40S February 28, 2008
Applied Math 40S February 28, 2008Applied Math 40S February 28, 2008
Applied Math 40S February 28, 2008
 
Applied 40S March 10, 2009
Applied 40S March 10, 2009Applied 40S March 10, 2009
Applied 40S March 10, 2009
 
PERMUTATION-COMBINATION.pdf
PERMUTATION-COMBINATION.pdfPERMUTATION-COMBINATION.pdf
PERMUTATION-COMBINATION.pdf
 
Pre-Cal 40S May 6, 2009
Pre-Cal 40S May 6, 2009Pre-Cal 40S May 6, 2009
Pre-Cal 40S May 6, 2009
 
05 Probability Mar9
05 Probability Mar905 Probability Mar9
05 Probability Mar9
 
Day 3 examples u7w14
Day 3 examples u7w14Day 3 examples u7w14
Day 3 examples u7w14
 
Lecture Week 17 which hleps in study for logic and
Lecture Week 17 which hleps in study for logic andLecture Week 17 which hleps in study for logic and
Lecture Week 17 which hleps in study for logic and
 
Worksheet-1PermutationandCombination (1).pdf
Worksheet-1PermutationandCombination (1).pdfWorksheet-1PermutationandCombination (1).pdf
Worksheet-1PermutationandCombination (1).pdf
 
Day 3 examples
Day 3 examplesDay 3 examples
Day 3 examples
 
Day 3 examples
Day 3 examplesDay 3 examples
Day 3 examples
 
New day 3 examples
New day 3 examplesNew day 3 examples
New day 3 examples
 
Permutation & combination
Permutation & combinationPermutation & combination
Permutation & combination
 
Unit 1 lesson 1- building number sense: Largest and possible numbers
Unit 1 lesson 1- building number sense: Largest and possible numbersUnit 1 lesson 1- building number sense: Largest and possible numbers
Unit 1 lesson 1- building number sense: Largest and possible numbers
 
Pc12 sol c08_review
Pc12 sol c08_reviewPc12 sol c08_review
Pc12 sol c08_review
 
Counting
CountingCounting
Counting
 

Plus de Darren Kuropatwa

Providing Permission To Wonder v2.1
Providing Permission To Wonder v2.1Providing Permission To Wonder v2.1
Providing Permission To Wonder v2.1Darren Kuropatwa
 
Things That Suck About Digital Citizenship v1
Things That Suck About Digital Citizenship v1Things That Suck About Digital Citizenship v1
Things That Suck About Digital Citizenship v1Darren Kuropatwa
 
Digital Storytelling for Deeper Learning v1
Digital Storytelling for Deeper Learning v1Digital Storytelling for Deeper Learning v1
Digital Storytelling for Deeper Learning v1Darren Kuropatwa
 
Tales of Learning and the Gifts of Footprints v4.2
Tales of Learning and the Gifts of Footprints v4.2Tales of Learning and the Gifts of Footprints v4.2
Tales of Learning and the Gifts of Footprints v4.2Darren Kuropatwa
 
Making Student Thinking Visible v4
 Making Student Thinking Visible v4 Making Student Thinking Visible v4
Making Student Thinking Visible v4Darren Kuropatwa
 
Leveraging Digital for Deeper Learning
Leveraging Digital for Deeper LearningLeveraging Digital for Deeper Learning
Leveraging Digital for Deeper LearningDarren Kuropatwa
 
We Learn Through Stories at PRIZMAH17
We Learn Through Stories at PRIZMAH17We Learn Through Stories at PRIZMAH17
We Learn Through Stories at PRIZMAH17Darren Kuropatwa
 
Providing Permission to Wonder v3
Providing Permission to Wonder v3Providing Permission to Wonder v3
Providing Permission to Wonder v3Darren Kuropatwa
 
Making Student Thinking Visible v3.7
 Making Student Thinking Visible v3.7 Making Student Thinking Visible v3.7
Making Student Thinking Visible v3.7Darren Kuropatwa
 
Providing Permission to Wonder v2
Providing Permission to Wonder v2Providing Permission to Wonder v2
Providing Permission to Wonder v2Darren Kuropatwa
 
We Learn Through Stories v4 (master class)
We Learn Through Stories v4 (master class)We Learn Through Stories v4 (master class)
We Learn Through Stories v4 (master class)Darren Kuropatwa
 
Deep Learning Design: the middle ring
Deep Learning Design: the middle ringDeep Learning Design: the middle ring
Deep Learning Design: the middle ringDarren Kuropatwa
 

Plus de Darren Kuropatwa (20)

Behind Their Eyes v1
Behind Their Eyes v1Behind Their Eyes v1
Behind Their Eyes v1
 
Leading Change v1
Leading Change v1Leading Change v1
Leading Change v1
 
Providing Permission To Wonder v2.1
Providing Permission To Wonder v2.1Providing Permission To Wonder v2.1
Providing Permission To Wonder v2.1
 
Things That Suck About Digital Citizenship v1
Things That Suck About Digital Citizenship v1Things That Suck About Digital Citizenship v1
Things That Suck About Digital Citizenship v1
 
Digital Storytelling for Deeper Learning v1
Digital Storytelling for Deeper Learning v1Digital Storytelling for Deeper Learning v1
Digital Storytelling for Deeper Learning v1
 
Tales of Learning and the Gifts of Footprints v4.2
Tales of Learning and the Gifts of Footprints v4.2Tales of Learning and the Gifts of Footprints v4.2
Tales of Learning and the Gifts of Footprints v4.2
 
The Fourth Screen v4.2
The Fourth Screen v4.2The Fourth Screen v4.2
The Fourth Screen v4.2
 
Making Student Thinking Visible v4
 Making Student Thinking Visible v4 Making Student Thinking Visible v4
Making Student Thinking Visible v4
 
Learning is at BYTE 2017
Learning is at BYTE 2017Learning is at BYTE 2017
Learning is at BYTE 2017
 
Leveraging Digital for Deeper Learning
Leveraging Digital for Deeper LearningLeveraging Digital for Deeper Learning
Leveraging Digital for Deeper Learning
 
We Learn Through Stories at PRIZMAH17
We Learn Through Stories at PRIZMAH17We Learn Through Stories at PRIZMAH17
We Learn Through Stories at PRIZMAH17
 
Providing Permission to Wonder v3
Providing Permission to Wonder v3Providing Permission to Wonder v3
Providing Permission to Wonder v3
 
The Fourth Screen v4.1
The Fourth Screen v4.1The Fourth Screen v4.1
The Fourth Screen v4.1
 
Making Student Thinking Visible v3.7
 Making Student Thinking Visible v3.7 Making Student Thinking Visible v3.7
Making Student Thinking Visible v3.7
 
Learning is at AUHSD
Learning is at AUHSDLearning is at AUHSD
Learning is at AUHSD
 
Providing Permission to Wonder v2
Providing Permission to Wonder v2Providing Permission to Wonder v2
Providing Permission to Wonder v2
 
The Fourth Screen v4
The Fourth Screen v4The Fourth Screen v4
The Fourth Screen v4
 
Learning is at BLC16
Learning is at BLC16Learning is at BLC16
Learning is at BLC16
 
We Learn Through Stories v4 (master class)
We Learn Through Stories v4 (master class)We Learn Through Stories v4 (master class)
We Learn Through Stories v4 (master class)
 
Deep Learning Design: the middle ring
Deep Learning Design: the middle ringDeep Learning Design: the middle ring
Deep Learning Design: the middle ring
 

Dernier

AI Fame Rush Review – Virtual Influencer Creation In Just Minutes
AI Fame Rush Review – Virtual Influencer Creation In Just MinutesAI Fame Rush Review – Virtual Influencer Creation In Just Minutes
AI Fame Rush Review – Virtual Influencer Creation In Just MinutesMd Hossain Ali
 
Anypoint Code Builder , Google Pub sub connector and MuleSoft RPA
Anypoint Code Builder , Google Pub sub connector and MuleSoft RPAAnypoint Code Builder , Google Pub sub connector and MuleSoft RPA
Anypoint Code Builder , Google Pub sub connector and MuleSoft RPAshyamraj55
 
GenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation IncGenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation IncObject Automation
 
Meet the new FSP 3000 M-Flex800™
Meet the new FSP 3000 M-Flex800™Meet the new FSP 3000 M-Flex800™
Meet the new FSP 3000 M-Flex800™Adtran
 
Basic Building Blocks of Internet of Things.
Basic Building Blocks of Internet of Things.Basic Building Blocks of Internet of Things.
Basic Building Blocks of Internet of Things.YounusS2
 
Introduction to Matsuo Laboratory (ENG).pptx
Introduction to Matsuo Laboratory (ENG).pptxIntroduction to Matsuo Laboratory (ENG).pptx
Introduction to Matsuo Laboratory (ENG).pptxMatsuo Lab
 
Empowering Africa's Next Generation: The AI Leadership Blueprint
Empowering Africa's Next Generation: The AI Leadership BlueprintEmpowering Africa's Next Generation: The AI Leadership Blueprint
Empowering Africa's Next Generation: The AI Leadership BlueprintMahmoud Rabie
 
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyes
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyesHow to Effectively Monitor SD-WAN and SASE Environments with ThousandEyes
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyesThousandEyes
 
IESVE Software for Florida Code Compliance Using ASHRAE 90.1-2019
IESVE Software for Florida Code Compliance Using ASHRAE 90.1-2019IESVE Software for Florida Code Compliance Using ASHRAE 90.1-2019
IESVE Software for Florida Code Compliance Using ASHRAE 90.1-2019IES VE
 
Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?SANGHEE SHIN
 
Linked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond OntologiesLinked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond OntologiesDavid Newbury
 
Cybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxCybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxGDSC PJATK
 
Artificial Intelligence & SEO Trends for 2024
Artificial Intelligence & SEO Trends for 2024Artificial Intelligence & SEO Trends for 2024
Artificial Intelligence & SEO Trends for 2024D Cloud Solutions
 
Comparing Sidecar-less Service Mesh from Cilium and Istio
Comparing Sidecar-less Service Mesh from Cilium and IstioComparing Sidecar-less Service Mesh from Cilium and Istio
Comparing Sidecar-less Service Mesh from Cilium and IstioChristian Posta
 
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdfUiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdfDianaGray10
 
RAG Patterns and Vector Search in Generative AI
RAG Patterns and Vector Search in Generative AIRAG Patterns and Vector Search in Generative AI
RAG Patterns and Vector Search in Generative AIUdaiappa Ramachandran
 
Apres-Cyber - The Data Dilemma: Bridging Offensive Operations and Machine Lea...
Apres-Cyber - The Data Dilemma: Bridging Offensive Operations and Machine Lea...Apres-Cyber - The Data Dilemma: Bridging Offensive Operations and Machine Lea...
Apres-Cyber - The Data Dilemma: Bridging Offensive Operations and Machine Lea...Will Schroeder
 
UiPath Studio Web workshop series - Day 8
UiPath Studio Web workshop series - Day 8UiPath Studio Web workshop series - Day 8
UiPath Studio Web workshop series - Day 8DianaGray10
 
20200723_insight_release_plan_v6.pdf20200723_insight_release_plan_v6.pdf
20200723_insight_release_plan_v6.pdf20200723_insight_release_plan_v6.pdf20200723_insight_release_plan_v6.pdf20200723_insight_release_plan_v6.pdf
20200723_insight_release_plan_v6.pdf20200723_insight_release_plan_v6.pdfJamie (Taka) Wang
 
Cloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial DataCloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial DataSafe Software
 

Dernier (20)

AI Fame Rush Review – Virtual Influencer Creation In Just Minutes
AI Fame Rush Review – Virtual Influencer Creation In Just MinutesAI Fame Rush Review – Virtual Influencer Creation In Just Minutes
AI Fame Rush Review – Virtual Influencer Creation In Just Minutes
 
Anypoint Code Builder , Google Pub sub connector and MuleSoft RPA
Anypoint Code Builder , Google Pub sub connector and MuleSoft RPAAnypoint Code Builder , Google Pub sub connector and MuleSoft RPA
Anypoint Code Builder , Google Pub sub connector and MuleSoft RPA
 
GenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation IncGenAI and AI GCC State of AI_Object Automation Inc
GenAI and AI GCC State of AI_Object Automation Inc
 
Meet the new FSP 3000 M-Flex800™
Meet the new FSP 3000 M-Flex800™Meet the new FSP 3000 M-Flex800™
Meet the new FSP 3000 M-Flex800™
 
Basic Building Blocks of Internet of Things.
Basic Building Blocks of Internet of Things.Basic Building Blocks of Internet of Things.
Basic Building Blocks of Internet of Things.
 
Introduction to Matsuo Laboratory (ENG).pptx
Introduction to Matsuo Laboratory (ENG).pptxIntroduction to Matsuo Laboratory (ENG).pptx
Introduction to Matsuo Laboratory (ENG).pptx
 
Empowering Africa's Next Generation: The AI Leadership Blueprint
Empowering Africa's Next Generation: The AI Leadership BlueprintEmpowering Africa's Next Generation: The AI Leadership Blueprint
Empowering Africa's Next Generation: The AI Leadership Blueprint
 
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyes
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyesHow to Effectively Monitor SD-WAN and SASE Environments with ThousandEyes
How to Effectively Monitor SD-WAN and SASE Environments with ThousandEyes
 
IESVE Software for Florida Code Compliance Using ASHRAE 90.1-2019
IESVE Software for Florida Code Compliance Using ASHRAE 90.1-2019IESVE Software for Florida Code Compliance Using ASHRAE 90.1-2019
IESVE Software for Florida Code Compliance Using ASHRAE 90.1-2019
 
Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?Do we need a new standard for visualizing the invisible?
Do we need a new standard for visualizing the invisible?
 
Linked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond OntologiesLinked Data in Production: Moving Beyond Ontologies
Linked Data in Production: Moving Beyond Ontologies
 
Cybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptxCybersecurity Workshop #1.pptx
Cybersecurity Workshop #1.pptx
 
Artificial Intelligence & SEO Trends for 2024
Artificial Intelligence & SEO Trends for 2024Artificial Intelligence & SEO Trends for 2024
Artificial Intelligence & SEO Trends for 2024
 
Comparing Sidecar-less Service Mesh from Cilium and Istio
Comparing Sidecar-less Service Mesh from Cilium and IstioComparing Sidecar-less Service Mesh from Cilium and Istio
Comparing Sidecar-less Service Mesh from Cilium and Istio
 
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdfUiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
UiPath Solutions Management Preview - Northern CA Chapter - March 22.pdf
 
RAG Patterns and Vector Search in Generative AI
RAG Patterns and Vector Search in Generative AIRAG Patterns and Vector Search in Generative AI
RAG Patterns and Vector Search in Generative AI
 
Apres-Cyber - The Data Dilemma: Bridging Offensive Operations and Machine Lea...
Apres-Cyber - The Data Dilemma: Bridging Offensive Operations and Machine Lea...Apres-Cyber - The Data Dilemma: Bridging Offensive Operations and Machine Lea...
Apres-Cyber - The Data Dilemma: Bridging Offensive Operations and Machine Lea...
 
UiPath Studio Web workshop series - Day 8
UiPath Studio Web workshop series - Day 8UiPath Studio Web workshop series - Day 8
UiPath Studio Web workshop series - Day 8
 
20200723_insight_release_plan_v6.pdf20200723_insight_release_plan_v6.pdf
20200723_insight_release_plan_v6.pdf20200723_insight_release_plan_v6.pdf20200723_insight_release_plan_v6.pdf20200723_insight_release_plan_v6.pdf
20200723_insight_release_plan_v6.pdf20200723_insight_release_plan_v6.pdf
 
Cloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial DataCloud Revolution: Exploring the New Wave of Serverless Spatial Data
Cloud Revolution: Exploring the New Wave of Serverless Spatial Data
 

Pre-Cal 40S Slides November 27, 2007

  • 1. Permutations ... continued ... At the end of this class answer the question: Why did we start by looking at this picture? Sonicwall
  • 2. (a) How many numbers of 5 different digits each can be formed from the digits 0, 1, 2, 3, 4, 5, 6? (b) How many of these numbers are even? not zero (c) How many of these numbers are divisable by 5? verify this result
  • 3. How many phone numbers can be made under the following conditions: (First digit cannot be 0 or 1 because you'll get the operator or long distance.) • The first two digits are 3 followed by 6 • The third digit is even • The fourth digit is greater than 5 • The fifth and seventh digits are odd • The sixth digit is 2
  • 4. Permutation: An ordered arrangement of objects without repetition. Formula: A.K.A the quot;Pickquot; formula. n is the number of objects to pick from r is the number of objects to be arranged is read as quot;n pick rquot; means: Given a set of n objects, how many ordered arrangements can be made using only r of them at a time? Example: There are 8 horses in a race. In how many ways can three of them finish first, second and third? Solution by the Fundamental Solution as a Permutation Principle of Counting 8 • 7 • 6 = 336 1st 2nd 3rd
  • 6. How many ways can the batting order of a 9-member softball team be listed?
  • 7. A 120-room hotel has reservations from 6 guests for 6 different rooms. In how many ways can the rooms be assigned?
  • 8. How many different quot;wordsquot; can you make from the letters in the word BOOK?
  • 10. Permutations of Non-Distinguishable Objects The number of ways to arrange n objects that contain sets of non-distinguishable objects is given by: Example: How many different quot;wordsquot; can be made form the letters in the word: (a) BOOK (b) MISSISSIPPI # of I's = 4 # of O's = 2 ∴ # of S's = 4 # of P's = 2 ∴
  • 11. How many different quot;wordsquot; can you make from the letters in the word STATISTICS?