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Math Help - combinatorics

  1. #1
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    combinatorics

    Hi,

    Please help with this question...

    The number of words that can be formed by taking 4 letters at a time out of the letters of the word MATHEMATICS is ______
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  2. #2
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    Quote Originally Posted by kladizkov View Post
    The number of words that can be formed by taking 4 letters at a time out of the letters of the word MATHEMATICS is ______
    Do you know how to use generating functions?
    If so then the answer is rather easy to find.

    If not, then this is a problem of different cases.
    The is because you have three sets or repeated letters: {M,M,A,A,T,T}.
    So you must consider cases of no reparations, one letter repeated, etc.
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