MathDB
very simple

Source: Bosnian TST, 2008, 2.nd day

May 18, 2008
ceiling functionLaTeXcombinatorics proposedcombinatorics

Problem Statement

8 8 students took part in exam that contains 8 8 questions. If it is known that each question was solved by at least 5 5 students, prove that we can always find 2 2 students such that each of questions was solved by at least one of them.