olymmath

HMMT 2018 C3

  • Combinatorics
  • Answer

A 4×44 \times 4 window is made out of 16 square windowpanes. How many ways are there to stain each of the windowpanes, red, pink, or magenta, such that each windowpane is the same color as exactly two of its neighbors? Two different windowpanes are neighbors if they share a side.

Dataset text NuminaMath olympiads. Quoted with source.

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