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Math Help - Probability with nPr help

  1. #1
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    Probability with nPr help

    I know how to do the basic problems that go along with nPr but this one I do not.

    An organization consists of 11 men and 13 women. I want to form a committee with 6 members and i will select the committee at random. Find the probability that exactly 3 men are in the committee. Report your answer correct to 3 decimal places

    How can i solve this?
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  2. #2
    MHF Contributor Unknown008's Avatar
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    This uses nCr.

    The total number of ways is firstly 24C6 = 134596

    To get 3 men, you will use 11C3 = 165 ways
    And any other women, 13C3 = 286 ways

    Probability = \dfrac{165 \times 286}{134596} = \dfrac{2145}{6118}
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