PUMaC 2024 · 团队赛 · 第 11 题

PUMaC 2024 — Team Round — Problem 11

Austen has a regular icosahedron (20-sided polyhedron with all triangular faces). He randomly chooses 3 distinct points among the vertices and constructs the circle through these three points. The expected value of the total number of the icosahedron’s vertices that lie on this circle can be written as m/n for relatively prime positive integers m and n . Find m + n .

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