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20 May, 23:12

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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  1. 21 May, 00:54
    0
    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
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