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How many ways can the letters in the word mississippi be rearranged if the two Ps must stay together?
Wiki User
∙ 12y ago
Rethink the question as "How many ways can the letters of MISSISSIPI (one P) be arranged?" The (initial) answer is that this is the number of permutations of 10 things taken 10 at a time, because every time you choose a P, you simply write down two P's. That is 10 factorial, which is 3,628,800. However, since there are still multiple letters (four S's, and four I's), you need to divide by 24 twice in order to see how many distinct permutations there are. That is 3,628,800 / 16 / 16, or 14,175.
Wiki User
∙ 12y ago
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