Answer
360
Work Step by Step
Use the formula of permutation: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$. Plug in 6 for N and 4 for R:
$_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$
$_{6}$P$_{4}$=$\frac{6!}{(6-4)!}$ -simplify like terms-
$_{6}$P$_{4}$=$\frac{6!}{2!}$ -write using factorial-
$_{6}$P$_{4}$=$\frac{6*5*4*3*2*1}{2*1}$ -simplify-
$_{6}$P$_{4}$=360
