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all arrangements of 8 letter words with 3 symbols

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  1. #1
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    all arrangements of 8 letter words with 3 symbols

    1. Anyone know how to use excel to generate all "8 element" arrangements of 3 symbols (has duplicates). Example: use aaaabbcc as a seed and get all possible arrangements.

    2. Rank those arrangements. rank(aaaabbcc) = 1,
    ... rank(aaaaccbb) = 5 ...

    3. unrank(234) = aacbacba (I don't know what it really is or how to do it?)
    Last edited by rohed; 03-12-2007 at 01:10 AM.

  2. #2
    Forum Expert Carim's Avatar
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    04-07-2006
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    Hi,

    I am not sure to understand your question ...
    If you are looking for permutations ...
    http://j-walk.com/ss/excel/tips/tip46.htm
    HTH
    Carim


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  3. #3
    Forum Moderator Leith Ross's Avatar
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    Hello Rohed,

    This type of problem involves both permutations and combinations of numbers. Several years ago I developed an algorithm that used some of the same problems you are facing. This website help me" Math Forum - Ask Dr. Math". The explainations are simple and examples of the steps involved are given. Here is a link that explains your problem in detail.

    http://mathforum.org/library/drmath/view/63330.html

    SIncerely,
    Leith Ross

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