Chapter 13.2, Problem 64AYU

To determine

To find: The problem different from any bound in the text that requires a permutation to solve.

Answer to Problem 64AYU

The routine of time table possible is $120$ .

Explanation of Solution

Consider a problem that a tenth grad student have 5 subjects, on Monday all 5 subjects are thought then find the number of time table possible.

Consider the formula for the given case is,

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

Then,

  $\begin{array}{c}P\left(5,5\right)=\frac{5!}{\left(5-5\right)!}\\ =\frac{5!}{0!}\\ =120\end{array}$