SOLUTION: In how many ways can 10 letters: 2 C's, 3 D's, and 5 F's be awarded to 10 politicians, one letter for each politician?

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Question 352196: In how many ways can 10 letters: 2 C's, 3 D's, and 5 F's be awarded to 10 politicians, one letter for each politician?
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

This problem is just like arrange 2 C's, 3 D's and 5 F's in a row i.e the no. of
words of 10 letters that can be found from these letters.
CCDDDFFFFF, DDCFCFDFFF, DFCDFCDFFF, ...............and so on.


no. of ways = 10! / (2! * 3! * 5!)
= 2520


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