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Determine the number of permutations of the letters of the word "EFFECTIVE"

  • math -

    Rewrite the word as:
    "ceeeffitv" we see that it is a 9 letter word in which the letters e and f repeat 3 and 2 times respectively.
    The number of permutations is therefore
    9!/(3!2!1!1!1!1!)
    =30240

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