Chapter 13.2, Problem 8AYU

In Problems 7-14, find the value of each permutation.

$P\left(7,2\right)$

To determine

To find: The value of each permutation.

Answer to Problem 8AYU

42

Explanation of Solution

Given:

$P\left(7,2\right)$

Formula used:

$P\left(n,r\right)=\frac{n!}{\left(n-r\right)!}$

Calculation:

$P\left(n,r\right)=\frac{n!}{\left(n-r\right)!}$

$P\left(7,2\right)=\frac{7!}{\left(7-2\right)!}$

$P\left(7,2\right)=\frac{7!}{5!}$

$P\left(7,2\right)=\frac{7*6*5!}{5!}=42$