Question

Evaluate express your answer in exact simplest form9P4=

Answer 1

The formula for Permutation is,

`^nP_r=(n!)/(\left(n-r\right)!)`

The expression given is,

`^9P_4`

Given:

`n=9,r=4`

Plug in n = 9, r = 4

`(9!)/(\left(9-4\right)!)`

Simplify

`(9!)/(5!)=(9*8*7*6*5!)/(5!)=9*8*7*6=3024`

Hence, the answer is 3,024.