Chapter 11.7, Problem 39E

To determine

To find the different ways to watch all 6 of the movies

Answer to Problem 39E

The number of ways to watch 6 movies is 720 ways

Explanation of Solution

Given information:

The given permutations is ${}_6{P}_6$

Calculation:

  $\begin{array}{l}{}_n{P}_r{=}_6{P}_6\\ {}_n{P}_r=\frac{n!}{n!-r!}\text{ [Use permutations formula]}\\ {}_6{P}_6=\frac{6!}{6!-6!}=\frac{6!}{0!}\\ {}_6{P}_6=6\times 5\times 4\times 3\times 2\times 1\\ {}_6{P}_6=720\text{ ways [Simplify}\text{.]}\end{array}$