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MathNet 2006 — Part 01 Question 3

Math Olympiad Vault · MathNet 2006 — Part 01

Question 3

2006 vertices of a regular 2007-gon are red. The remaining vertex is green. Let $G$ be the total number of polygons whose one vertex is green and the others are red. Denote by $R$ the number of polygons whose all vertices are red. Which number is bigger, $R$ or $G$? Explain your answer.