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Math Help - I cant Get this... HELP>>>

  1. #1
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    Cool I cant Get this... HELP>>>

    How many distinct Permutations of the letters of the word OTTAWA begin and end with the letter T?
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  2. #2
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    Quote Originally Posted by wikji View Post
    How many distinct Permutations of the letters of the word OTTAWA begin and end with the letter T?

    The number of permutations of a set with n elements is n!

    since it needs to begin and end with t they can't move so we have 4!, but we want distinct permutations so we need to get rid of the double count of a's so we end up with

    \frac{4!}{2!}=\frac{24}{2}=12
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