Chapter 12.4, Problem 1CYP

To determine

To calculate: the number of permutations of the six empty seats.

Answer to Problem 1CYP

There are 720 ways to arrange the empty seats.

Explanation of Solution

Given information:

There are six friends in total.

Formula used:

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

Calculation :

  $\begin{array}{l}\text{Number of ways to arrange the empty seats}\\ =n!\\ =6!\\ =6\times 5\times 4\times 3\times 2\times 1\\ =720\text{ ways}\end{array}$

Hence, there are 720 ways to arrange the empty seats.