2 colors in 2x3 grid
Source: Portugal OPM 2019 p4
May 15, 2024
Coloringcombinatorics
Problem Statement
On a board with columns and rows, each of the squares will be painted green or white. In the first and last row, the number of squares painted green must be the same. Furthermore, in the first and last column, the number of squares painted green must also be unequal. How many different ways can you paint the board?