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

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Question 885180: how many ways can the letters in the word BUSINESS be arranged

Answer by Edwin McCravy(20054) About Me  (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: 8%21%2F3%21%22%22=%22%22%288%2A7%2A6%2A5%2A4%2A3%2A2%2A1%29%2F%283%2A2%2A1%29%22%22=%22%228%2A7%2A6%2A5%2A4%22%22=%22%22matrix%281%2C2%2C6720%2C+ways%29.

Edwin