Problem A. 737. (December 2018)

A. 737. \(\displaystyle 100\) points are given in space such that no four of them lie in the same plane. Consider those convex polyhedra with five vertices that have all vertices from the given set. Prove that the number of such polyhedra is even.

Proposed by: Gyula Károlyi, Budajenő

(7 pont)

Deadline expired on January 10, 2019.

Statistics:

4 students sent a solution.
7 points:	Schrettner Jakab, Vladyslav Zveryk, Weisz Máté.
1 point:	1 student.

Problems in Mathematics of KöMaL, December 2018