9 4 Permutations

9-4 Permutations p 381 Find the number of permutations of a set of objects

Work the hands on mini lab on page 381 with a partner

We want to choose president and vice president from 4 people. ,[object Object],[object Object]

A permutation is an arrangement, or listing, of objects in which order is important . ,[object Object]

Factorial (n!) ,[object Object]

Find each of the following ,[object Object],[object Object],[object Object]

Ex) in how many ways can the starting six players of a volleyball team stand in a row for a picture? ,[object Object]

Ex) The finals of the Middle School Appalachian League features 8 swimmers. In how many ways can the swimmers finish in first of second place? ,[object Object]

Ex) A team of bowlers has five members who bowl one at a time. In how many orders can they bowl? ,[object Object]

A school fair holds a raffle with 1 st , 2 nd , and 3 rd prizes. Seven people enter the raffle. How many ways can the three prizes be awarded?

In how many ways can you arrange four books on a shelf.

In how many ways can you award 1 st and 2 nd prize form a group of 6?

In how many ways can 7 people line up at a ticket window?

In how many ways can you arrange the letters in the word eighty?

In how many ways can you choose a leading man and an understudy from 11 actors?

Coach Malone has an 8-member volleyball team. He told his team that he would start six different players every game. How many games would it take to do this? ,[object Object]

The International Club is selling hot dogs at eh Spring Carnival. Customers can select three toppings from among chili, onions, cheese, mustard, or relish. ,[object Object]

What are some key words that help you know it is a permutation?

What are some key words that show it is not a permutation?

Handout—left side only LINE CODES ,[object Object]

n P r n objects chosen r at a time ,[object Object],[object Object],graphing calculator

9 4 Permutations

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