Question 1052866: yes how to solve: how many different 10 letter words (real or imaginary) can be formed from: s,f,s,m,z,s,f,a,i,n
Answer by Edwin McCravy(20054) (Show Source):
You can put this solution on YOUR website!
s,f,s,m,z,s,f,a,i,n
If the 3 s's and 2 f's looked different, maybe colored differently,
like this:
s,f,s,m,z,s,f,a,i,n
then the number of distinguishable "words" would be 10!.
However there are many arrangements that we cannot tell apart
because the 3 s's and 2 f's look just alike.
So we must divide the 10! by the product of the factorials
of the numbers of indistinguishable letters.
Since there are 3 indistinguishable s's and 2 indistinguishable f's,
we divide the 10! by 3!2!:
Answer:     
Edwin
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