SOLUTION: how many ways can the letters in the word BUSINESS be arranged

Algebra.Com
Question 885180: how many ways can the letters in the word BUSINESS be arranged
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
The answer would be 8! if we could tell the three S's apart.  But since
we can't, 8! is too much, because it counts each distinguishable arrangement
as many times too many times as there are ways to arrange the three S's
in each arrangement, which is 3! ways.  So we divide 8! by 3!:

Answer: .

Edwin
RELATED QUESTIONS

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)
In how many distinguishable ways can the letters in the word STATISTICS be arranged?... (answered by ikleyn)
In how many ways can the letters of the word "little" be... (answered by nyc_function)
In how many ways can the letters of the word "little" be... (answered by nyc_function)
How many ways can the letters in the word ECOT be arranged? (answered by checkley77)
In how many different ways can the letters of the word CIVILIZATION be... (answered by sudhanshu_kmr)
In how many different ways can the letters of the word BERIBERI be... (answered by edjones)