MathDB
Combinatorics

Source: Federal Mathematical Competition of Serbia and Montenegro 2004

May 14, 2018
combinatorics

Problem Statement

A set SS of 100100 points, no four in a plane, is given in space. Prove that there are no more than 4.10124 .101^2 tetrahedra with the vertices in SS, such that any two of them have at most two vertices in common.