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Source: Sri Lankan Mathematics Challenge Competition 2022

September 2, 2022
combinatoricsSri LankaTstst

Problem Statement

Problem 2 : kk number of unit squares selected from a 99×9999 \times 99 square grid are coloured using five colours Red, Blue, Yellow, Green and Black such that each colour appears the same number of times and on each row and on each column there are no differently coloured unit squares. Find the maximum possible value of kk.