SOLUTION: How many words can be formed from the letters of the word MATHEMATICS?

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Question 74421: How many words can be formed from the letters of the word MATHEMATICS?
Answer by galactus(183) About Me  (Show Source):
You can put this solution on YOUR website!
This problem is rather ambiguous. Do you mean 11 letter words or all words consisting of 2 letters or more(up to 11)?.
If they are 11-letter words, then:
There are 11 letters in the word MATHEMATICS. But, there are some letters repeated. There are 2 T's, 2 E's, and 2 A's
Therefore, the number of possible arrangements is:
11%21%2F%282%212%212%21%29=11%21%2F8=39916800%2F8=4989600
The problem gets more complicated if you must count all words, regardless of size, up to 11 letters.