Answer
60
Work Step by Step
Use the formula of permutation: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$. Plug in 5 for N and 3 for R:
$_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$
$_{5}$P$_{3}$=$\frac{5!}{(5-3)!}$ -simplify-
$_{5}$P$_{3}$=$\frac{5!}{2!}$ -write using factorial-
$_{5}$P$_{3}$=$\frac{5*4*3*2*1}{2*1}$ -simplify-
$_{5}$P$_{3}$=60