Given 100 points on the plane, construct the perpendicular bisector of each pair, and count all the points on the plane in which two or more (non-parallel) bisectors intersect. At most how many points could you have counted?

Mathsbombe Competition 2024 is organised by the The Department of Mathematics at The University of Manchester.
© The University of Manchester 2012–2024, All Rights Reserved
Contact us | Privacy notice