Question

Evaluate. Express your answer in exact simplest form.

Answer 1

Answer:

6720

Step-by-step 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 :

$8P5=\frac{8!}{\left( 8-5\right)!}$

$=\frac{8!}{ 3!}$

$=\frac{8 \times 7 \times 6 \times 5 \times 4 \times 3!}{ 3!}$

$= 8 \times 7 \times 6 \times 5 \times 4$

$= 6720$