AMC 12 2012b Problem 16
- Paper
Amy, Beth, and Jo listen to four different songs and discuss which ones they like. No song is liked by all three. Furthermore, for each of the three pairs of the girls, there is at least one song liked by those girls but disliked by the third. In how many different ways is this possible?
\textbf{(A)}\ 108 \textbf{(B)}\ 132 \textbf{(C)}\ 671 \textbf{(D)}\ 846 \textbf{(E)}\ 1105
Dataset text AMC 12 2000 to 2025. Quoted with source.
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B
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