Answer: 15,120
Step-by-step explanation:
The number of permutations of n objects taken r at one time [tex]^nP_r[/tex] is calculated by the following formula:
[tex]^nP_r=\frac{n!}{(n-r)!}[/tex]
Now, the given expression is [tex]^9P_5[/tex]
by using the above formula , we get
[tex]^9P_5=\frac{9!}{(9-5)!}\\\\=\frac{9!}{4!}\\\\=\frac{9\times8\times7\times6\times5\times4!}{4!}\\\\=9\times8\times7\times6\times5=15120[/tex]
Hence, [tex]^9P_5=15,120[/tex]
