Answer
120
Work Step by Step
Use the formula of permutation: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$. Plug in 5 for N and 5 for R:
$_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$
$_{5}$P$_{5}$=$\frac{5!}{(5-5)!}$ -simplify-
$_{5}$P$_{5}$=$\frac{5!}{0!}$ -write using factorial-
$_{5}$P$_{5}$=$\frac{5*4*3*2*1}{1}$ -simplify-
$_{5}$P$_{5}$=120