Answer
15120
Work Step by Step
Use the formula of permutation: $_{n}$P$_{y}$=$\frac{n!}{(n-r)!}$.plug in 9 for N and 5 for R:
$_{n}$P$_{y}$=$\frac{n!}{(n-r)!}$
$_{9}$P$_{5}$=$\frac{9!}{(9-5)!}$ -simplify-
$_{9}$P$_{5}$=$\frac{9!}{(4)!}$ -write using factorial-
$_{9}$P$_{5}$=$\frac{9*8*7*6*5*4*3*2*1}{4 *3*2*1}$ -simplify-
$_{9}$P$_{5}$=15120