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MathNet 2021 — Part 01 Question 68

Math Olympiad Vault · MathNet 2021 — Part 01

Question 68

Suppose you have 9 evenly spaced dots in a circle on a piece of paper. You want to draw a 9-pointed star by connecting dots around the circle without lifting your pencil, skipping the same number of dots each time.
Determine the number of different stars that can be drawn, if the regular nonagon does not count as a star.