Chapter 0.5, Problem 3E

To determine

To evaluate: the given permutation.

Answer to Problem 3E

  $P{}_5=2520$ .

Explanation of Solution

Given information:

  $P{}_5$

Solving the given permutation,

  $\begin{array}{c}P{}_5=\frac{7!}{\left(7-5\right)!}\\ =\frac{7!}{2!}\\ =\frac{7\times 6\times 5\times 4\times 3\times 2\times 1}{2\times 1}\\ =2520\end{array}$

So,

After evaluating,

  $P{}_5=2520$ .