Shannon's family is going to install a custom swing set in the backyard. There are 5 kinds of swings and 3 kinds of slides, and the swing set has room for one of each. How many different swing sets can Shannon's family buy?

15 different swing sets

Step-by-step explanation:

The swing set is composed by one swing and one slide.

There is 5 different types of swing, so there are 5 possibilities to fill the one swing we need.

There are 3 different types of slides, so there are 3 possibilities to fill the one slide we need.

So, to find the total number of swing sets, we just need to multiply the swing possibilities and the slide possibilities:

Number of sets = 5 * 3 = 15 different sets