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IMSO 2019 — Math Division — Essay Question 6

IMSO Maths · IMSO 2019 — Math Division — Essay

Question 6

Each small square in a $6\times6$ table is filled with one of the numbers 1, 2, 3, 4, 5 and 6, so that any row or column has six different numbers. The numbers in some squares are filled as below. How many different completed tables are there?

Question illustration