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Math Help - Permutation

  1. #1
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    Permutation

    hello...I need help with this probelm :

    How many ways are there for eight men and five women to stand in a line so that no two women stand next to each other? [Hint: First position the men and then consider possible positions for the women.]

    This is a problem from rossen's discrete math... the answer is 609,638,400, but i can't get the same answer...
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  2. #2
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    Re: Permutation

    Quote Originally Posted by dedust View Post
    How many ways are there for eight men and five women to stand in a line so that no two women stand next to each other? .

    .\underline{~~}|\underline{~~} \underline{~~}|\underline{~~}\underline{~~}| \underline{~~}\underline{~~}| \underline{~~}\underline{~~}|\underline{~~} \underline{~~}|\underline{~~}\underline{~~}| \underline{~~}\underline{~~}|\underline{~~}.

    The eight men create nine places to place the five women.

    \binom{9}{5}(8!)(5!)
    Thanks from dedust
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  3. #3
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    Re: Permutation

    " The eight men create nine places " thank you plato
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