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Assam Mathematics Olympiad 2023 Category III Q2

Source:

September 11, 2024

Problem Statement

An umbrella seller has umbrellas of 77 different colours. He has a total of 20232023 umbrellas in stock but because of the plastic packaging, the colours are not visible. What is the minimum number of umbrellas that one must buy in order to ensure that at least 2323 umbrellas are of the same colour ?