SOLUTION: How many different arrangements of the letters in the word ASSISTANT can be formed?

Algebra ->  Permutations -> SOLUTION: How many different arrangements of the letters in the word ASSISTANT can be formed?      Log On


   

Question 326807: How many different arrangements of the letters in the word ASSISTANT can be formed?
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
There are 9 letters, so there are 9! arrangements.
But, because T, N, and A repeat, we divide by the number of those possible arrangements. There are 3 S's, 2 T's, and 2 A's.
So, we have 9%21%2F%283%212%212%21%29=362880%2F24=15120