Answer
$336$
Work Step by Step
Use the formula $P(n,r)=\dfrac{n!}{(n-r)!}$.
Here we have $n=8$ and $r=3$:
Substitute these values into the formula above to obtain:
$P(8,3)=\dfrac{8!}{(8-3)!}\\$
$P(8,3)=\dfrac{8!}{5!}\\$
$P(8,3)=\dfrac{8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}{5\cdot4\cdot3\cdot2\cdot1}$
Cancel out common factors to obtain:
$P(8, 3)= 8\cdot7\cdot6\\
P(8, 3)=336$
