Answer
$60,480$
Work Step by Step
Use the formula $P(n,r)=\dfrac{n!}{(n-r)!}$.
Here, $n=9$ and $r=6$ so substitute these values into the formula to obtain:
$P(9,6)=\dfrac{9!}{(9-6)!}\\\\
P(9,6)=\dfrac{9!}{3!}\\\\
P(9.6)=\dfrac{9{\times}8{\times}7{\times}6{\times}5{\times}4{\times}3{\times}2{\times}1}{3{\times}2{\times}1}$
Cancel out common factors to get:
$P(9,6)=9{\times}8{\times}7{\times}6{\times}5{\times}4\\
P(9, 6)=60480$