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4 white,4 green, 4 red and 4 blue 1x1 in 4x4

Source: 1991 Greece MO Grade XII p3

September 6, 2024
combinatorics

Problem Statement

In how many ways can we construct a square with dimensions 4×44\times 4 using 44 white, 44 green , 44 red and 4 blueblue squares of dimensions 1×11\times 1, such that in every horizontal and in every certical line, squares have different colours .
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