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AMC 12 2011a Problem 16

  • Paper

Each vertex of convex polygon ABCDEABCDE is to be assigned a color. There are 66 colors to choose from, and the ends of each diagonal must have different colors. How many different colorings are possible?

\textbf{(A)}\ 2520 \textbf{(B)}\ 2880 \textbf{(C)}\ 3120 \textbf{(D)}\ 3250 \textbf{(E)}\ 3750

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

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C

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