SOLUTION: In how many distinguishable ways can the letters in the word STATISTICS be arranged? Thank you.

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Question 1027695: In how many distinguishable ways can the letters in the word STATISTICS be arranged?
Thank you.

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
In how many distinguishable ways can the letters in the word STATISTICS be arranged?
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The word "STATISTICS" contains 10 letters.

Of these, there are 3 repeating letters "S", 3 repeating letters "T" and 2 repeating letters "I".


Did I miss something?  Uff, it looks like no.


So, the answer is 10%21%2F%283%21%2A3%21%2A2%21%29 = 50400 distinguishable ways/words.


3!  in the denominator stands for all permutations of 3 symbols "S",
another  3!  in the denominator stands for all permutations of 3 symbols "T",
and the last   2!  in the denominator stands for all permutations of 2 symbols "I".