Chapter 12.4, Problem 12PPS

To determine

To find: the permutation that the manager can arrange the employees at the four front counter registers.

Answer to Problem 12PPS

The manager can arrange the employees at the four front counter registers in 24 ways.

Explanation of Solution

Given information:

Total number of employees is 4.

Formula used:

  $n!=n\left(n-1\right)\left(n-2\right)\mathrm{...1},\text{where }n\ge 1$

Calculation :

Number of ways that the manager can arrange the employees at the four front counter registers are-

  $\begin{array}{l}n!=4!\left[\text{Since }n=4\right]\\ n!=4\times 3\times 2\times 1\\ n!=24\text{ ways}\end{array}$

Hence, there are 24 ways that the manager can arrange the employees at the four front counter registers.