olymmath

HMMT 2020 C3

  • Combinatorics
  • Answer

Each unit square of a 4×44 \times 4 square grid is colored either red, green, or blue. Over all possible colorings of the grid, what is the maximum possible number of L-trominos that contain exactly one square of each color? (L-trominos are made up of three unit squares sharing a corner, as shown below.)

□□□□□□□\square \square \square \square \square \square \square

Dataset text NuminaMath olympiads. Quoted with source.

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