Question

If A = 8! and B = 8P8, then which one of the following is true:

O not enough information
OA = B
OA <B
OA>B
​

Answer 1

A. A = B

Explanation:

Given

`A = 8!`

`B = ^8P_8`

Required

Which of the options is true

We start by simplifying
`B = ^8P_8`

Permutation is calculated as follows

`^nP_r = (n!)/((n - r)!)`

So.

`^8P_8 =(8!)/((8 - 8)!)`

`^8P_8 =(8!)/(0!)`

0! = 1; So

`^8P_8 =(8!)/(1)`

`^8P_8 =8!`

Hence. B! = P!

This implies that
`A = B = 8!`