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2023 SSMO Relay Round 2 Problems/Problem 2

Revision as of 21:29, 15 December 2023 by Pinkpig (talk | contribs) (Created page with "==Problem== Let <math>T=</math> TNYWR. Suppose that <math>L = \left\lfloor\sqrt{N}\right\rfloor</math> points are evenly spaced around the circle. Find the number of ways to s...")
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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.

Solution

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