The document introduces circular permutation as the number of ordered arrangements that can be made of n objects in a circle. It is calculated as (n-1)!. Several examples are provided to illustrate circular permutation for seating people around a table and arranging beads on a bracelet. The document also considers the number of ways 4 married couples can be seated if spouses sit opposite each other [(n-1)!/3!] or if men and women alternate [3! x 4! = 144].
7. b.) men and women alternate?
Solution:
ladies x men
( 4 1 )! x 4!
3! x 4!
lady 1 6 x 24
4 choices of men
1 choice of man
144
ways to seat a men and a
lady 2
lady 4 women alternate on a circular
table
2 choices of men 3 choices of men
lady 3