SOLUTION: 1) If all permutations of the letters of the words AGAIN are arranged as in dictionary,then what is 49th word?

Algebra ->  Permutations -> SOLUTION: 1) If all permutations of the letters of the words AGAIN are arranged as in dictionary,then what is 49th word?      Log On


   

Question 678790: 1) If all permutations of the letters of the words AGAIN are arranged as in dictionary,then what is 49th word?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you list out all the permutations of AGAIN, there are 120 of them.

However, there's a letter that repeats itself twice (A), so cut that figure in half to get 60.

So there are 60 ways to rearrange the letters of AGAIN

That's a lot. Especially if you have to sort them all correctly.

However, doing so will give the 49th "word" NAAGI.