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21 March, 08:49

There are 4! (or 24) "words" that can be formed using each of the letters a, b, c and d once. if these "words" are alphabetized, which one is 17th?

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  1. 21 March, 09:05
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    First, list all possibile combinations (alphabetized for convenience):

    abcd

    abdc

    acbd

    acdb

    adbc

    adcb

    bacd

    badc

    bcad

    bcda

    bdac

    bdca

    cabd

    cadb

    cbad

    cbda

    cdab

    cdba

    dabc

    dacb

    dbac

    dbca

    dcab

    dcba

    Going down the list, number 17 is cdba.
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