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IMAS 2023–2024 Junior Division — Round 2 Question 14

IMAS · IMAS 2023–2024 Junior Division — Round 2

Question 14

Some squares of a $7\times5$ board are colored gray, as shown in the diagram below. What is the number of ways to choose five gray squares so that any two squares chosen are on different rows and different columns? Give a detailed solution.

Question illustration