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Math Help - permutation

  1. #1
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    permutation

    hello what is the permutation for determining the letters of a word DEAFEATED in which the E's are seperate from each other..
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  2. #2
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    Quote Originally Posted by sigma1 View Post
    hello what is the permutation for determining the letters of a word DEAFEATED in which the E's are seperate from each other..
    without any condition , the number of permuatation of this word is

    \frac{9!}{3!2!2!}=15120

    when all the 'E's are to be together , no of permutations :

    \frac{7!}{2!2!}=1260

    so when all the 'E's are not to be together , no of permutations

    =15120-1260
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