Question

Kevin has 5 cubes. Each cube is a different color. Kevin will arrange the cubes side by side in a row. What is the total number of different arrangements of the 5 cubes that Kevin can make?

Answer 1

There are `120` different arrangements of the five colored cubes.

Explanation:

The first position is one of five possibilities; the second position is therefore one of the four remaining possibilities; the third position is one of the three remaining possibilities; the fourth position will be one of the remaining two possibilities; and the fifth position will be filled by the remaining cube. Therefore, the total number of different arrangements is given by:

`5*4*3*2*1 = 120`

There are `120` different arrangements of the five colored cubes.