SOLUTION: twelve students are in a class. they are split so that five go to room A, four go to room B and three go to room C. how many different ways can this happen?

Question 70125: twelve students are in a class. they are split so that five go to room A, four go to room B and three go to room C. how many different ways can this happen?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
twelve students are in a class. they are split so that five go to room A, four go to room B and three go to room C. how many different ways can this happen?
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pick 5 from the 12: 12C5 ways
pick 4 from the remaining 7: 7C4 ways
pick 3 from the remaining 3: 3C3 ways
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Total number of ways = [12C5]
=792*35*1 =27720 ways
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Cheers,
Stan H.
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