2025 AIME II Problems/Problem 11

Revision as of 21:47, 13 February 2025 by Dondee123 (talk | contribs) (Created page with "== Problem == Let <math>S</math> be the set of vertices of a regular <math>24</math>-gon. Find the number of ways to draw <math>12</math> segments of equal lengths so that eac...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Let $S$ be the set of vertices of a regular $24$-gon. Find the number of ways to draw $12$ segments of equal lengths so that each vertex in $S$ is an endpoint of exactly one of the $12$ segments.

Solution