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Understanding the Context
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📰 Question: A farmer in Kazakhstan uses 3 autonomous tractors—each used to cultivate either wheat, corn, or soybeans—deploying them over 6 days. If the tractors must cultivate wheat 3 times, corn 2 times, and soybeans 1 time, with tractors being indistinct in function (only crop count matters), how many distinct cultivation schedules are possible?
📰 Solution: We are assigning 6 days to cultivation tasks: 3 wheat (W), 2 corn (C), and 1 soybean (S), where the order matters but tractors are indistinct. The number of distinct sequences is the multinomial coefficient:
📰 Thus, there are 60 distinct schedules for cultivating the crops.
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