SOLUTION: find the number of permutations of the word thermometer. thanks! :)

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Question 910219: find the number of permutations of the word thermometer. thanks! :)
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
thermometer

In alphabetical order, the letters are

eeehmmorrtt

If you could tell the like letters apart, the answer would be 11!.
But there are 3 indistinguishable e's, 2 indistinguishable m's,
2 indistinguishable r's and 2 indistinguishable t's. So we must
divide that number, 11!, by the product of thr factorials of all 
of those.


Answer:  11%21%2F%283%212%212%21%29 = 1663200 

Edwin