Chapter 11, Problem 16CT

To determine

To calculate:the ways of pose in a line for the photograph.

Answer to Problem 16CT

Yes, we counted it using permutations. The ways of pose in a line for the photograph = $120$

Explanation of Solution

Given information :

Total peoples = five

Formula used:

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

Calculation : to find the ways of pose for the photograph, use the permutation.

Now take all peoples for the ways of pose in a line so,

  $\begin{array}{l}P{}_r=\frac{n!}{\left(n-r\right)!}\\ P{}_5=\frac{5!}{\left(5-5\right)!}\text{ [substitue n by 5 and r by 5]}\\ P{}_5=\frac{5!}{0!}\text{ [subtract]}\\ P{}_5=120\text{ [multiply and divide]}\end{array}$

Hence,Yes, we counted it using permutations. The ways of pose in a line for the photograph = $120$ .