olymmath

HMMT 2024 C3

  • Combinatorics
  • Answer

Compute the number of ways there are to assemble 2 red unit cubes and 25 white unit cubes into a 3×3×33 \times 3 \times 3 cube such that red is visible on exactly 4 faces of the larger cube. (Rotations and reflections are considered distinct.)

Dataset text NuminaMath olympiads. Quoted with source.

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