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AMO · 2027 · Grades 6-7 · Self-study SET 25 Question 10

AMO

Question 10

How many shortest paths along a 3 × 3 grid lead from one corner to the diagonally opposite corner?

Editorial clarification: use 3 rows and 3 columns of vertices, joined horizontally and vertically, as illustrated. This is a grid of 2 × 2 square cells. Travel from A to B along the drawn segments.

Question illustration

**Input:** Choose one option.
  1. 1
  2. 2
  3. 3
  4. 6
  5. 12