Question

1. For each of the following, show the substitution in the permutation formula, and find the answer.

a. 4P4
b. 10P2
c. 5P1

Answer 1

a. 4P4 = 24

b. 10P2 = 90

c. 5P1 = 5

Explanation:

permutation is the act of arranging the members of a set into a sequence or order( in permutation order is important)

Given a permutation nPr

nPr = n!/(n-r)!

Substituting for each of the cases below we have;

a)4P4 = 4!/(4-4)! = 4! = 24

b) 10P2 = 10!/(10-2)! = 10!/8! = 10×9 = 90

c) 5P1 = 5!/(5-1)! = 5!/4! = 5