SOLUTION: In how many ways can 12 different easter eggs be distributed between 3 families if the Frankos get 5, Manchurs get 4 and the smiths get the rest?

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Question 1196575: In how many ways can 12 different easter eggs be distributed between 3 families if the Frankos get 5, Manchurs get 4 and the smiths get the rest?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Give 5 of the 12 to the Frankos, then 4 of the remaining 7 to the Manchurs, then the remaining 3 to the Smiths:

C%2812%2C5%29%2AC%287%2C4%29%2AC%283%2C3%29=792%2A35%2A1=27720

OR...

Give 3 of the 12 to the Smiths, then 5 of the remaining 9 to the Frankos, then the remaining 4 to the Manchurs:

C%2812%2C3%29%2AC%289%2C5%29%2AC%284%2C4%29=220%2A126%2A1=27720

or any of a few other different orders; the total number of ways of distrubuting the eggs does not depend on the order.