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Math Help - Permutation Help

  1. #1
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    Permutation Help

    I'm struggling to get my head around the amount of combinations I can have from 6 letters, ranging from a single letter upto 6 letters. They mustn't be the same combination twice such as abcdef is the same as acdfeb.

    the letters are a, b, c, d, e, f

    i know the obvious ones like

    a
    b
    c
    d
    e
    f
    ab
    ac
    ad
    ae
    af
    bc
    bd
    be
    bf

    and so on, can someone help with all the possible combinations or know a quick way to work them all out, thanks in advance if you can help
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  2. #2
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    Re: Permutation Help

    Quote Originally Posted by Trifolium View Post
    I'm struggling to get my head around the amount of combinations I can have from 6 letters, ranging from a single letter upto 6 letters. They mustn't be the same combination twice such as abcdef is the same as acdfeb.
    the letters are a, b, c, d, e, f
    You are simply asking for the number of non-empty subsets of set six: $2^6-1$
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  3. #3
    MHF Contributor
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    Re: Permutation Help

    The letter a can be either in the subset or not. For each of the two possibilities, the letter b can be either in or out, and so on. Note that you exclude the empty subset.
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