Arturo is customizing his next pair of basketball shoes. The following table shows the design components and how many options he has for each.

Design component Number of options

Primary color 8

Secondary color 8

Sole color 8

Lace color 5

How many different shoe combinations can Arturo create?

The total number of combinations is 2,560.

To find the total, we need to use the number of options for all 4 of the categories. Once we have those number, we just need to multiply them to find the total number of possibilities. This is called the Fundamental Counting Principle.

8 x 8 x 8 x 5 = 2560