Question

1. Find the value of each of the following:
a. 9????8
b. 9????1
c. 9????9

Answer 1

a. 9P8 = 362880

b. 9P1 = 9

c. 9P9 = 362880

1. Find the value of each of the following:

a. 9P8

b. 9P1

c. 9P9

Explanation:

Permutation is a collection or a combination of objects from a set where the order or the arrangement of the chosen objects does matter( order is important in permutation).

Permutation nPr can be defined as;

nPr= n!/(n-r)!

a) 9P8 = 9!/(9-8)! = 9!/1!= 9! = 362880

b) 9P1 = 9!/(9-1)! = 9!/8! = (9 × 8!)/8! = 9

c) 9P9 = 9!/(9-9)! = 9!/0! = 9! = 362880