Sylvester's problem

Sylvester's problem asks whether it is possible to arrange a finite number of points in a plane such that no three points are collinear, meaning no three points lie on the same straight line. It explores the configurations of points that can avoid this situation. The problem relates to fields like combinatorics and geometry, looking at how space can be organized while adhering to specific constraints. It emphasizes the interplay between number theory and geometric arrangements, central to understanding patterns and structures in mathematics.