Question

A catering service offers 4 appetizers, 9 main courses, and 7 desserts. A customer is to select 3 appetizers, 2 main courses, and 3 desserts for a banquet. In how many ways can this be done

Answer 1

In 5040 ways.

Explanation:

To solve this problem we will use combination without repetition which means:

C ( n k) = (n₁ k₁) (n₂ k₂) (n₃ k₃) = (4 3) (9 2) (7 3) =

(4 · 3 · 2 / 3 · 2 · 1) (9 · 8 / 2 · 1) (7 · 6 · 5 / 3 · 2 · 1) = 4 · 36 · 35 = 5040

It can be done in 5040 ways.

God with you!!!