Chapter 8.5, Problem 35E

To determine

To evaluate: the expression swa $P{}_5$ .

Answer to Problem 35E

  $P{}_5=720$

Explanation of Solution

Given information:

  $P{}_5$

Formula Used:

  $P{}_r=\frac{n!}{\left(n-r\right)!},n!=n\times \left(n-1\right)\times \left(n-2\right)\mathrm{................}\times 1$

Calculation:

It is given that $P{}_5$

Using

  $\begin{array}{l}P{}_r=\frac{n!}{\left(n-r\right)!}\\ P{}_5=\frac{6!}{\left(6-5\right)!}\\ P{}_5=\frac{6!}{1!}\\ P{}_5=\frac{6\times 5\times 4\times 3\times 2\times 1!}{1!}\\ P{}_5=720\end{array}$

Conclusion:

  $P{}_5=720$