General Mills is testing 15 new cereals for possible production. They are testing 4 oat​ cereals, 6 wheat​ cereals, and 5 rice cereals. If each of the 15 cereals has the same chance of being​ produced, and 3 new cereals will be​ produced, determine the probability that of the 3 new cereals that will be​ produced, 1 is an oat cereal​, 1 is a wheat cereal​, and 1 is a rice cereal.

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