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What is the number of ordered partitions of the set (1, 2, 3, 4, 5) into 3 cells with 3-elements, 1 element, and 1

What is the number of ordered partitions of the set (1, 2, 3, 4, 5) into 3 cells with 3-elements, 1 element, and 1 element, respectively? (b) List all these partitions.

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