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Math Help - combinations

  1. #1
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    combinations

    there are 14 teachers in a mathematics department. How many 4 person committees can be formed if Mr. G and Mrs. F, 2 of the
    14, must be on the committee?
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  2. #2
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    Hello, blame_canada100!

    Exactly where is your difficulty?


    There are 14 teachers in a mathematics department.
    How many 4-person committees can be formed if Mr. G and Mrs. F must be on the committee?
    Since Mr. G and Mrs. F are already on the committee,
    . . we must choose the other two from the remaining twelve teachers.

    There are: . {12\choose2} \:=\:66 ways.

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