MathDB
T with 66 points

Source:

April 8, 2011
linear algebramatrixfunctioninequalitiescombinatorics

Problem Statement

Set TT consists of 6666 points in plane, and PP consists of 1616 lines in plane. Pair (A,l)(A,l) is good if A∈TA \in T, l∈Pl \in P and A∈lA \in l. Prove that maximum number of good pairs is no greater than 159159, and prove that there exits configuration with exactly 159159 good pairs.
Back to ProblemsView on AoPS