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

a. 4P4

b. 10P2

c. 5P1

a. 4P4 = 24

b. 10P2 = 90

c. 5P1 = 5

Step-by-step 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