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2023 SSMO Relay Round 2 Problems/Problem 2: Difference between revisions

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


==Solution==
==Solution==

Latest revision as of 14:25, 15 September 2025

Problem

Let $T=TNYWR$. Suppose that $L = \left\lfloor\sqrt{T}\right\rfloor$ 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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