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discrete math

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Suppose that a department contains 10 men and 17 women. How many ways are there to form a committee with 6 members if it must have strictly more women than men?

  • discrete math -

    To choose 5 women and 1 man, there are
    (17,5)*(10,1) ways.
    Figure out the number of ways to choose
    6 women,
    4 women and 2 men,
    and add up the total number of ways.

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