SOLUTION: Determine the number of permutations of the letters of the word "BASICSTATISTICS"

Question 1071976: Determine the number of permutations of the letters of the word "BASICSTATISTICS"
Answer by Edwin McCravy(20062) (Show Source): You can put this solution on YOUR website!

BASICSTATISTICS, a 15 letter word, with the letters written in 
alphabetical order is:

AABCCIIISSSSTTT

If we could tell the like letters apart, the answer would be 15!,
but since we can't, we must divide by all the factorials of the 
numbers of times each letter appears in the word:

So we divide 15! by 2! for the 2 indistinguishable A's, 2! for
the 2 indistinguishable C's, 3! for the indistinguishable I's,
4! for the 4 indistinguishable S's, and 3! for the 3 
indistinguishable T's.

Answer: 

Edwin

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