Chapter 13.1, Problem 8CFU

To determine

To find: The value of $P\left(5,3\right)$ .

Answer to Problem 8CFU

The value of $P\left(5,3\right)$ is $60$ .

Explanation of Solution

Consider the permutation of the n object taken $r$ at a time is,

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

Then,

  $\begin{array}{c}P\left(5,3\right)=\frac{5!}{\left(5-3\right)!}\\ =\frac{5!}{2!}\\ =60\end{array}$