A catering service offers ​appetizers, main​ courses, and desserts. A banquet committee is to select ​appetizers, main​ courses, and desserts. How many ways can this be​ done?.



Answer :

A catering service offers ​appetizers, main​ courses, and desserts. A banquet committee is to select ​appetizers, main​ courses, and desserts. Then it can be done in 6 ways

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

learn more about of permutation here

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