A catering service offers 5 appetizers, 8 main courses, and 7 desserts. A banquet chairperson is to select 3 appetizers, 4 main courses, and 4 desserts for a banquet. In how many ways can this be done?

To find the number of ways to do this, first multiply the total number of each kind by the number that can be selected.

5 x 3 = 15

8 x 4 = 32

7 x 4 = 28

Now, add them all together.

15 + 32 + 28 = 75

There are 75 different ways the banquet food can be set up.