Answer
6,720
Work Step by Step
$_{8}$P$_{5}$ is a permutation. To solve, use the permutation formula:
$_{n}$P$_{r}$ = $\frac{n!}{(n-r)!}$
Plug in 8 for "n" and 5 for "r":
$_{n}$P$_{r}$ = $\frac{n!}{(n-r)!}$
$_{8}$P$_{5}$ = $\frac{8!}{(8-5)!}$ = $\frac{8 \times7\times6\times5\times4\times3\times2\times1}{3\times2\times1}$ = $\frac{40,320}{6}$ = 6,720
