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HMMT 二月 2000 · 团队赛 · 第 13 题

HMMT February 2000 — Team Round — Problem 13

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. Let P ; P ; : : : ; P b e a on v ex n -gon. If all lines P P are joined, what is the maxim um 1 2 n i j p ossible n um b er of in terse tions in terms of n obtained from stri tly inside the p olygon?
解析
  1. Giv en an y 4 v erti es, there is exa tly one in terse tion of all the diagonals onne ting n them. So, the answ er is . 4 1+ x 1 x 1 0 0