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Math Help - Arrangements and committees.

  1. #1
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    Arrangements and committees.

    A company has 50 female employees, 10 of whom are in management positions, and 90 male employees, 30 of whom are in management positions. How many ways are there to choose a committee consisting of 4 women and 5 men if
    (a) There must be at least one person of management rank?
    (b) There must be at least one person of management rank of each sex?

    (a choose b) = (a b)

    I think I got this one:
    (a)[(10 1)*(49 3)*(90 5)] + [(50 4)*(30 1)*(89 4)]
    (b)[(10 1)*(49 3)*(30 1)*(89 4)]
    Last edited by cgiulz; September 6th 2009 at 10:23 AM.
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