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AMC 12 2013a Problem 15

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Rabbits Peter and Pauline have three offspring-Flopsie, Mopsie, and Cotton-tail. These five rabbits are to be distributed to four different pet stores so that no store gets both a parent and a child. It is not required that every store gets a rabbit. In how many different ways can this be done?

\textbf{(A)} \ 96 \textbf{(B)} \ 108 \textbf{(C)} \ 156 \textbf{(D)} \ 204 \textbf{(E)} \ 372

Dataset text AMC 12 2000 to 2025. Quoted with source.

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D

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