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

Question 1027695: In how many distinguishable ways can the letters in the word STATISTICS be arranged?
Thank you.
Answer by ikleyn(52784) (Show Source): You can put this solution on YOUR website!
.
In how many distinguishable ways can the letters in the word STATISTICS be arranged?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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".

RELATED QUESTIONS
In how many distinguishable ways can letters of the word TENNESSEE be... (answered by sudhanshu_kmr)

How many distinguishable ways can the letters of the word STATISTICS be written ? (answered by Fombitz)

How many distinguishable ways can be written using all the letters in the word ALGEBRA? (answered by Theo)

How many distinct ways can the letters in the word ITEMS be arranged? How many distinct (answered by addingup)

In how many ways can the letters in the word �DIFFERENCE� be arranged? (answered by edjones)

In how many ways can the letters in the word INVESTIGATION be... (answered by stanbon)

how many distinguishable ways can the letters of the word VERTICAL be arranged using only (answered by checkley77)

In how many ways can the letters of the word "little" be... (answered by nyc_function)