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

Question

Mathematics

Esther Garrett

9 May, 22:51

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

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Answers (1)

Know the Answer?

Belen Banks · Answer 1

6

Step-by-step explanation:

We have 3 items (n = 3),

Appetizers = A

Main course = M

Dessert = D

which can be ordered in 6 different ways. The problem is solved by thinking it as a permutation of 3 elements.

The formula for that is:

P = n!

P = 3! = 3 x 2 x 1 = 6

Let's see check it:

AMD

ADM

MAD

MDA

DMA

DAM