2023 SSMO Relay Round 2 Problems/Problem 2

Problem

Let $T=TNYWR$ . Suppose that $L = \left\lfloor\sqrt{N}\right\rfloor$ points are evenly spaced around the circle. Find the number of ways to select $k \ge 3$ points such that the $k$ -gon formed strictly contains the center of the circle.

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2023 SSMO Relay Round 2 Problems/Problem 2

Problem

Solution