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29 December, 13:51

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

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  1. 29 December, 13:55
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    In 5040 ways.

    Step-by-step 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!
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