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Australian AMC 2021 - Junior Question 21

AMC AUSTRALIA · Australian AMC 2021 - Junior

Question 21

Leonhard is designing a puzzle for Katharina. It has nine squares in a 3 × 3 grid and a number of clues. Each clue is a number 1, 2 or 3 placed in one of the squares. Katharina then has to find a solution by placing 1, 2 or 3 in each remaining square so that no row or column has a repeated number. What is the smallest number of clues that Leonhard could include so that his puzzle has exactly one solution?

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