Chapter 13.3, Problem 44E

To determine

To find:The number of ways can the items be arranged on the tray.

Answer to Problem 44E

There are 120 ways can the items be arranged on the tray.

Explanation of Solution

Given:

A food vending machine has 6 different items on a revolving tray.

Calculation:

The given arrangement is circular permutation.

Calculate the number of different ways of arranging the trays.

  $\begin{array}{c}\left(n-1\right)!=\left(6-1\right)!\\ =5!\\ =5\left(4\right)\left(3\right)\left(2\right)\left(1\right)\\ =120\end{array}$

Thus, there are 120 ways can the items be arranged on the tray.