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Probability- Marbles

In how many different ways can you grab 3 red marbles, 2 white marbles, and 2 blue marbles from an urn containing 10 red, 8 white, and 4 blue marbles?


Notice that the question is only meaningful if marbles of the same color are somehow distinguishable from each other.
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1 Answer

Using multiplication principle, there are
(10C3)(8C2)(4C2) = 20,160 different ways.