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?

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) (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:

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:

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

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