The formula for Permutation is,
[tex]^nP_r=\frac{n!}{\left(n-r\right)!}[/tex]The expression given is,
[tex]^9P_4[/tex]Given:
[tex]n=9,r=4[/tex]Plug in n = 9, r = 4
[tex]\frac{9!}{\left(9-4\right)!}[/tex]Simplify
[tex]\frac{9!}{5!}=\frac{9\times8\times7\times6\times5!}{5!}=9\times8\times7\times6=3024[/tex]Hence, the answer is 3,024.
