# 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?

##### 1 Answer
Oct 21, 2016

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:

$5 \cdot 4 \cdot 3 \cdot 2 \cdot 1 = 120$

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