Question

Evaluate 9 P 5. 15,120 45 362,880

Answer 1

The answer------>  9*8*7*6*5 = 15120 

Answer 2

Answer: 15,120

Step-by-step explanation:

The number of permutations of n objects taken r at one time $^nP_r$ is calculated by the following formula:

$^nP_r=\frac{n!}{(n-r)!}$

Now, the given  expression is $^9P_5$

by using the above formula , we get

$^9P_5=\frac{9!}{(9-5)!}\\\\=\frac{9!}{4!}\\\\=\frac{9\times8\times7\times6\times5\times4!}{4!}\\\\=9\times8\times7\times6\times5=15120$

Hence, $^9P_5=15,120$