Colouring problem ( NOT COMB.)
Source: SMO 2012 Q5
June 30, 2012
algebra proposedalgebra
Problem Statement
There are distinct points in the plane, each of which is to be coloured using one of colours, so that the numbers of points of each colour are distinct. A set of points is said to be multi-coloured if their colours are distinct. Determine that maximizes the number of multi-coloured sets.