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14 May, 13:44

The senior class at a very small high school has 25 students. A committee of five people needs to be formed a. In how many ways can the committee members be chosen? b. If there are 13 girls and 12 boys in the class, in how many ways can the committee members be chosen if there are three girls and two boys?

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  1. 14 May, 14:32
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    55130 ways to chosen the committee members

    18876 ways to chosen the committee members if there are three girls and two boys

    Step-by-step explanation:

    given data

    students = 25

    girls = 12

    boys = 12

    to find out

    how many ways can the committee members be chosen and if there are three girls and two boys

    solution

    no of way chosen 5 member committee is 25C5

    that is 25C5 are the 55130

    so 55130 ways to chosen the committee members

    and

    if there are three girls and two boys then

    way of chosen are

    13C3 * 12C2

    that are = 286 * 66 = 18876 ways

    18876 ways to chosen the committee members if there are three girls and two boys
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