SOLUTION: Using permutations, how do we solve this problem: How many distinguishable 6 letter "words" can be formed using the letters in LONDON? the answer is 180, but I can't figure out how

Algebra ->  Permutations -> SOLUTION: Using permutations, how do we solve this problem: How many distinguishable 6 letter "words" can be formed using the letters in LONDON? the answer is 180, but I can't figure out how      Log On


   



Question 366458: Using permutations, how do we solve this problem: How many distinguishable 6 letter "words" can be formed using the letters in LONDON? the answer is 180, but I can't figure out how to solve it. Please help.
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
There are 2 o's, 2 n's, 1 l, and 1 d in the word "london". Then from a formula from combinatorics , there are 6%21%2F%282%212%211%211%21%29+=+720%2F4+=+180ways.