Using all the letters of the word ARRANGEMENT how many different words using all letters at a time can be made such that both A, both E, both R both N occur together .
how many ways can the letters in ARRANGEMENT can be arranged
8
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permutations
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14In general if you have $n$ objects with $r_1$ objects of one kind, $r_2$ objects of another,...,and $r_k$ objects of the $k$th kind, they can be arranged in $$\frac{n!}{(r_1!)(r_2!)\dots(r_k!)}$$ ways. – 2012-11-13
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0@S.M. +1 I'd upvote it as an answer if you post it as an answer. It's always nice to see how problems of these kinds, in general, can be approached. – 2012-11-13
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1Nah, it is just a comment. – 2012-11-13
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0possible duplicate of [How many different words can be formed using all the letters of the word GOOGOLPLEX?](http://math.stackexchange.com/questions/483277/how-many-different-words-can-be-formed-using-all-the-letters-of-the-word-googolp) – 2015-03-13