A catering service offers 3 appetizers, 6 main courses, and 4 desserts. A customer is to select 2 ap

Discussion in 'Calculator Requests' started by math_celebrity, Dec 9, 2019.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A catering service offers 3 appetizers, 6 main courses, and 4 desserts. A customer is to select 2 appetizers, 3 main courses, and 3 desserts for a banquet. In how many ways can this be done?

    We use the combinations formula, and since each event is independent of the others, we multiply:
    2 appetizers, 3 main courses, and 3 desserts = 3C2 * 6C3 * 4C3
    2 appetizers, 3 main courses, and 3 desserts = 3 * 20 * 4
    2 appetizers, 3 main courses, and 3 desserts = 240
     

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