SOLUTION: Suppose we are given 4 identical red flags, 2 identical blue flags, and 3 identical green flags. Find the number m of different signals that can be formed by hanging the 9 flags

Algebra ->  Permutations -> SOLUTION: Suppose we are given 4 identical red flags, 2 identical blue flags, and 3 identical green flags. Find the number m of different signals that can be formed by hanging the 9 flags       Log On


   

Question 1150913: Suppose we are given 4 identical red flags, 2 identical blue flags, and 3 identical green flags. Find the number m of
different signals that can be formed by hanging the 9 flags in a vertical line.
Answer by ikleyn(52772) About Me  (Show Source):
You can put this solution on YOUR website!
.

The number of distinguishable arrangements is  9%21%2F%284%21%2A2%21%2A3%21%29 = %289%2A8%2A7%2A6%2A5%29%2F%282%2A6%29 = 1260 in this case.


In the denominator, the factors 4!, 2! and 3!  serve to account for multiplicities of the identical items / flags.


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