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If you have three DIFFERENT letters, you can arrange them in 3! = 1 x 2 x 3 = 6 different ways.
3! = 1 x 2 x 3 = 6 ways.
The letters of the word statistics can be permuted in 10!/(3!*3!*2!) = 3,628,800/72 = 50,400 ways.
If all the letters of the word are different then the answer is 8! = 8*7*6* 5 *4*3*2*1 = 40320.
It is 720.