olymmath

KöMaL 2010 C1056

    There are 10 spherical Christmas ornaments of the same size in two boxes. 5 spheres are red, 3 are gold and 2 are silver. One box contains 4 of them, the other contains 6. In how many different ways may the spheres be placed in the boxes if those of the same colour are not distinguished and the order of the spheres within a box does not count?

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