Question

Evaluate. Express your answer in exact simplest form.

Answer 1

6720

Explanation:

The writing 8P5 represents the number of permutations of 8 elements taken 5 at a time.

First Method :

8P5 = 8 × 7 × 6 × 5 × 4

= 6720

Second Method :

`8P5=(8!)/(\left( 8-5\right)!)`

`=(8!)/( 3!)`

`=(8 * 7 * 6 * 5 * 4 * 3!)/( 3!)`

`= 8 * 7 * 6 * 5 * 4`

`= 6720`