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12 June, 21:38

The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are four appetizers, five soups, five main courses, and four desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible

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  1. 12 June, 23:31
    0
    A total of 200 different three-course meals.

    Step-by-step explanation:

    1. Let's review the information provided to us to answer the question correctly:

    Number of appetizers = 4

    Number of soups = 5

    Number of main courses = 5

    Number of desserts = 4

    Diet restrictions you need to choose between a dessert and an appetizer. (You cannot have both.)

    2. Given this restriction, how many three-course meals are possible.

    Let's find the number of possible three-meals with appetizers, as follows:

    4 appetizers * 5 soups * 5 main courses = 100

    Now, let's find the possible three-meals with desserts:

    5 soups * 5 main courses * 4 desserts = 100

    Because they're mutually exclusive, we sum for a total of 200 different three-course meals.
  2. 13 June, 00:17
    0
    200 three-course meals are possible

    Step-by-step explanation:

    You are going to choose:

    One soup, from a set of 5.

    One main course, from a set of 5.

    Either an appetizers or a dessert, from a set of 4+4 = 8

    Total

    5*5*8 = 200

    200 three-course meals are possible
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