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Suppose you have 18 objects (10 of kind A, 5 of kind B, and 3 of kind C). Objects of kind A are indistinguishable from

Suppose you have 18 objects (10 of kind A, 5 of kind B, and 3 of kind C). Objects of kind A are indistinguishable from each other; objects of kind B are indistinguishable from each other; and objects of kind C are indistinguishable from each other. In how many ways can you:

Pick 3 of the 18 objects (order does not matter)?

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