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Question: How many ways are there to divide 6 distinct soil samples into 4 identical storage containers, where no container is empty?
Solution: This is the Stirling number of the second kind, $S(6, 4)$, which counts the number of ways to partition 6 distinct objects into 4 non-empty identical subsets. Using the recurrence relation:
From known values: $S(5, 3) = 25$ and $S(5, 4) = 10$, so:

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