Chapter 13.2, Problem 36AYU

Stacking Boxes In how many ways can 5 different boxes be stacked?

To determine

To find: In how many ways 5 different boxes be stacked?

Answer to Problem 36AYU

120

Explanation of Solution

Given:

Number of boxes to be stacked up is 5.

Calculation:

The number of boxes to be stacked up is 5.

Number of choices for the first box in the stack $=5$.

Number of choices for the second box in the stack $=4$.

Number of choices for the third box in the stack $=3$.

Number of choices for the fourth box in the stack $=2$.

Number of choices for the fifth box in the stack $=1$.

Hence, there are $5*4*3*2*1=120$ possible ways four people can be lined up.