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AMO · 2027 · Grades 4-5 · Self-study SET 29 Question 2

AMO

Question 2

The source asks how many ways we can go from the dark square at the top to the dark square at the bottom, moving only right or down, with no backtracking and no repeated section. It also says “only along the grid lines”.

**Movement clarification for this edition:** start in the top-left dark cell and finish in the bottom-right dark cell. Each move goes to the neighboring cell immediately right or down, across a shared side. Count cell-to-cell routes, rather than routes between grid vertices. The original wording mixes these two descriptions.

Question illustration

Enter one whole number, without units.