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Probability & Statistics Question?

A school club consists of 20 male and 5 female students. In how many ways can two male and two female students be chosen?

2 Answers

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  • alex
    Lv 7
    1 year ago
    Favorite Answer

    Hint:

    combinatorics

    ---> 1900 ways

  • 20C2 * 5C2 =>

    (20! / (2! * (20 - 2)!)) * (5! / (2! * (5 - 2)!)) =>

    20! * 5! / (2! * 18! * 2! * 3!) =>

    20 * 19 * 18! * 5 * 4 * 3! / (2 * 2 * 18! * 3!) =>

    20 * 19 * 5 * 4 / 4 =>

    20 * 19 * 5 =>

    100 * 19 =>

    1900

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