Chapter 12.4, Problem 34PPS

To determine

To find: the maximum number of attempts that the person could do to make locker combination.

Answer to Problem 34PPS

The person could make a locker combination in maximum 6 attempts.

Explanation of Solution

Given information:

The numbers are 5, 16, 31.

Total number of selected players to make the different group is 5.

Formula used :

  $c(n,r)=\frac{n!}{(n-r)!r!}$

Calculation:

You have to make the maximum arrangements of the number that the person could attempt.

The given numbers are $5,16,31$ .

  $\begin{array}{l}5,16,31\\ 5,31,16\\ 16,31,5\\ 16,5,31\\ 31,5,16\\ 31,16,5\end{array}$

Hence, person could make a locker combination in maximum 6 attempts.