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MathNet 2022-part-06 — 196 problems (EN–VI) Question 102

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 102

Let $A B C D E F$ be a regular hexagon and let point $O$ be the center of the hexagon. How many ways can you color these seven points either red or blue such that there doesn't exist any equilateral triangle with vertices of all the same color?