MathDB
2 colors in 2x3 grid

Source: Portugal OPM 2019 p4

May 15, 2024
Coloringcombinatorics

Problem Statement

On a board with 33 columns and 44 rows, each of the 1212 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?