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Math Help - Permutations homework questions

  1. #1
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    Permutations homework questions

    Michelle knows that there are 8!/2!2! permutations of her name when ALL the letters are used.
    She would like to know how many permutations there are if ANY NUMBER OF LETTERS in her name are used.
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  2. #2
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    Re: Permutations homework questions

    What have you tried?

    What does "ANY NUMBER OF LETTERS " mean to you?
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  3. #3
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    Re: Permutations homework questions

    this is what i have figured out so far.

    if she uses all letters in her name then there are 8! ways.
    if she uses 7 then there are 8!/1! ways
    if she only uses 6 letters there are 8!/2! ways
    if she uses only 5 letters there are 8!/3! ways
    if she uses only 4 letter there are 8!/4! ways
    if she uses 3 letter there are 8!/5! ways
    if she uses 2 letters there are 8!/6!
    and if she uses only one letter there are 8 options .
    and then all products are added because they are mutually exclusive.
    to me ANY NUMBER OF LETTERS mean that she can use any number of letters in her name. she doesn't have to use all 8.
    Last edited by samiiv; September 28th 2011 at 05:01 PM.
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  4. #4
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    Re: Permutations homework questions

    She would like to know how many permutations there are if ANY NUMBER OF LETTERS in her name are used.
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