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AMC 10 2021-fall-b Problem 24

  • Paper

A cube is constructed from 44 white unit cubes and 44 blue unit cubes. How many different ways are there to construct the 2×2×22 \times 2 \times 2 cube using these smaller cubes? (Two constructions are considered the same if one can be rotated to match the other.) (A) 7(B) 8(C) 9(D) 10(E) 11\textbf{(A)}\ 7 \textbf{(B)}\ 8 \textbf{(C)}\ 9 \textbf{(D)}\ 10 \textbf{(E)}\ 11

Dataset text NuminaMath-1.5. Quoted with source.

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