Chapter 0.4, Problem 10E

To determine

To find: Evaluate Permutation, $P_5^9$

Answer to Problem 10E

  $P_5^9=15120$

Explanation of Solution

Given information: $P_5^9$

Formula used: $P_r^n=\frac{n!}{(n-r)!}$

Calculation:

Plug in the values of n and r into the formula.

  $P_5^9=\frac{9!}{(9-5)!}$

Simplify the right side,

  $=\frac{9!}{4!}$

  $=\frac{9*8*7*6*5*4!}{4!}$

  $=15120$

Hence $P_5^9=15120$