SOLUTION: How many different 10 letters words can be formed from the letters in the word "IMMUNOLOGY"?

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Question 968167: How many different 10 letters words can be formed from the letters in the word "IMMUNOLOGY"?
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!
How many different 10 letters words can be formed from the letters in the word
"IMMUNOLOGY"?
If it were "IMmUNOLoGY", where we could tell the difference between the
2 M's and between the 2 O's, the answer would be 10!.

However since we cannot tell them apart, we must divide by the number
of ways the 2 M's can be arranged in each permutation, which is 2!, and 
also we must divide by the number of ways the 2 O's can be arranged in 
each permutation, which is also 2!.

Answer: 10%21%2F%282%21%2A2%21%29%22%22=%22%223628800%2F%28%282%2A1%29%282%2A1%29%29%7B%7B%7B%22%22=%22%223628800%2F4%22%22=%22%22907200

Edwin