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Q: Divide 12 students into (a) groups of 5, 4, 3 (b) three unlabeled groups of 4. (a) Distinct sizes: 12!/(5!4!3!) = 27720. (b) Equal unlabeled: 12!/(4!4!4!3!) = 5775. (Divide by 3! since the three groups are identical in size and unlabeled.)