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How many different anagrams (including nonsensical words) can be made from the letters in the word STATISTICS, using all the letters? I think the solution

How many different anagrams (including nonsensical words) can be made from the letters in the word STATISTICS, using all the letters?

I think the solution is 10! = 3,628,800

But I an unsure because there are 3 S's, 3 T's and 2 I's in the word? Do I need to do something different than 10!?

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