8
$\begingroup$

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 .

  • 14
    In 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
  • 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
  • 1
    Nah, it is just a comment.2012-11-13
  • 0
    possible 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

3 Answers 3