According to a theory in​ genetics, if tall and colorful plants are crossed with short and colorless​ plants, four types of plants will​ result: tall and​ colorful, tall and​ colorless, short and​ colorful, and short and​ colorless, with corresponding probabilities of 5/16​, 4/16​, 1/16​, and 6/16. In a multinomial​ experiment, if 10 plants are​ selected, find the probability that 3 will be tall and​ colorful, 2 will be tall and​ colorless, 1 will be short and​ colorful, and 4 will be short and colorless.

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