SOLUTION: How many different arrangements of the word “scissors” are there?

Algebra.Com
Question 580623: How many different arrangements of the word “scissors” are there?
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
The answer would be 8! if the s's were all distinguishable, e.g., of 
different colors.

Since they are not distinguishable, 8! counts each arrangement 4! times too 
many, because in each arrangement there are 4! ways the 4 s's could be arranged
within that arrangement, if they were of different colors.  To eliminate
duplications in this case when they are not distinguishable, we must divide the
8! by 4!:

Answer:   =  =  = 8·7·6·5 = 1680

Edwin
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