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Portugal Contests
Portugal MO
2019 Portugal MO
4
4
Part of
2019 Portugal MO
Problems
(1)
2 colors in 2x3 grid
Source: Portugal OPM 2019 p4
5/15/2024
On a board with
3
3
3
columns and
4
4
4
rows, each of the
12
12
12
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?
Coloring
combinatorics