AMC 12A 2013 Problem 15

Rabbits Peter and Pauline have three offspring-Flopsie, Mopsie, and Cottontail. 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?

Answer Choices
A. 96
B. 108
C. 156
D. 204
E. 372