General Mills is testing 12 new cereals for possible production. They are testing 5 oat​ cereals, 3 wheat​ cereals, and 4 rice cereals. If each of the 12 cereals has the same chance of being​ produced, and 4 new cereals will be​ produced, determine the probability that of the 4 new cereals that will be​ produced, 2 are oat cereals​, 1 is a wheat cereal​, and 1 is a rice cereal.

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