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AMC 12 2012b Problem 8

  • Paper

A dessert chef prepares the dessert for every day of a week starting with Sunday. The dessert each day is either cake, pie, ice cream, or pudding. The same dessert may not be served two days in a row. There must be cake on Friday because of a birthday. How many different dessert menus for the week are possible?

\textbf{(A)}\ 729 \textbf{(B)}\ 972 \textbf{(C)}\ 1024 \textbf{(D)}\ 2187 \textbf{(E)}\ 2304

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

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A

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