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AMC 10 2021a Problem 25

  • Paper

How many ways are there to place 33 indistinguishable red chips, 33 indistinguishable blue chips, and 33 indistinguishable green chips in the squares of a 3×33 \times 3 grid so that no two chips of the same color are directly adjacent to each other, either vertically or horizontally? (A) 12(B) 18(C) 24(D) 30(E) 36\textbf{(A)} ~12 \textbf{(B)} ~18 \textbf{(C)} ~24 \textbf{(D)} ~30 \textbf{(E)} ~36

Dataset text NuminaMath-1.5. Quoted with source.

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36

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