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Math Help - Combination or permutation? Am I doing it wright?

  1. #1
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    Unhappy Combination or permutation? Am I doing it wright?

    12 players of a softball team show up for a game:
    Of the 12 people who show up, 2 are women.
    How many ways are there to choose 10 players to take the field (disregarding
    positions
    ) if at least one of these players must be women?

    combination permutation

    I think it's a combination C(11,9)*C(2,1)=55*2

    Is 110 ways the answer?
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  2. #2
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    Re: Combination or permutation? Am I doing it wright?

    Quote Originally Posted by SillyMath View Post
    12 players of a softball team show up for a game:
    Of the 12 people who show up, 2 are women.
    How many ways are there to choose 10 players to take the field (disregarding
    positions
    ) if at least one of these players must be women?

    combination permutation
    I think it's a combination C(11,9)*C(2,1)=55*2
    Is 110 ways the answer?
    I don't think so. Try \binom{12}{10}-\binom{10}{10}.
    Last edited by Plato; August 15th 2012 at 02:32 PM.
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