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3 white, 3 green, 3 red 1x1 in 3x3 - 1991 Greece MO Grade X p4

Source:

September 6, 2024
combinatorics

Problem Statement

In how many ways can we construct a square with dimensions 3×33\times 3 using 33 white, 33 green and 33 red squares of dimensions 1×11\times 1, such that in every horizontal and in every certical line, squares have different colours .