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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
= 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".