Question 6863: I wasn't sure where to put this because my text is Inequalities, Permutations, and Probability. Can someone show me how to so this problem? How many different permutations can you make with the letters in the word
s e v e n t e e n ???? I am not sure how to set this problem up, Can someone please help me? I need to know how to do this before tomorrow(8-10-05)
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! there are 9 letters, so the total number of permutations is 9!. However, there are 4 e's and 2 n's, so these repetitons need to be incorporated to reduce the number of permutations, since seventeen and seventeen are the same word but with the 2 n's swapped around.
So, final answer is 9!/(4!2!) = 9x8x7x6x5x4x3x2x1/(4x3x2x1x2x1)
--> 9x8x7x6x5/2x1
--> 9x4x7x6x5
--> 7560
jon.
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