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IMAS 2021–2022 Junior Division, Round 2 Question 12

IMAS · IMAS 2021–2022 Junior Division, Round 2

Question 12

Some unit squares of a $6\times4$ board are coloured gray, as shown in the diagram below. Find the number of ways in choosing four different gray unit squares such that any two unit squares that are chosen are located on different rows and different columns.

Question illustration