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Math Help - Permutation-1

  1. #1
    Newbie magaski's Avatar
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    Smile Permutation-1

    If the permutations of a,b,c,d,e taken all together be written dowe in alphabetical order as in dictionary and numbered, find the rank of the permutation debac.
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    Hello magaski
    Quote Originally Posted by magaski View Post
    If the permutations of a,b,c,d,e taken all together be written dowe in alphabetical order as in dictionary and numbered, find the rank of the permutation debac.
    The number of permutations that begin with a..., b... or c... is:
    3\times 4! =72
    The number that begin with da..., db..., dc... or dd... is
    4\times 3! = 24
    The number that begin with dea is
    1\times 2!=2
    And debac is the first one beginning with deb... So this is ranked number
    72 +24+2+1 = 99
    Grandad
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  3. #3
    MHF Contributor

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    Nice!
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