Chapter 13, Problem 5MCQ

To determine

To calculate:

Number of ways can Augusto put the coins in his pocket.

Answer to Problem 5MCQ

Number of ways can Augusto put the coins in his pocket is $24$ .

Explanation of Solution

Given information:

Augusto has $3$ pockets and $4$ coins.

Calculations:

Augusto has $4$ different coins that he is choosing $3$ at a time. The number of ways to put one coin in each pocket is the permutation of $4$ coins taken $3$ at a time.

  $\begin{array}{l}P{}_r=\frac{n!}{\left(n-r\right)}\\ P{}_3=\frac{4!}{\left(4-3\right)!}\\ P{}_3=24\end{array}$

Therefore, there $24$ ways to put one coin in each pocket.