Difference between revisions of "2023 SSMO Relay Round 2 Problems/Problem 2"
(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== | ==Problem== | ||
− | Let <math>T=</math> | + | 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. |
==Solution== | ==Solution== |
Latest revision as of 19:19, 2 May 2025
Problem
Let . Suppose that
points are evenly spaced around the circle. Find the number of ways to select
points such that the
-gon formed strictly contains the center of the circle.