MathDB
Romanian District Olympiad 2015, Grade V, Problem 2

Source:

September 25, 2018
discrete mathsreal life problemromania

Problem Statement

At a math contest there were 50 50 participants, where they were given 3 3 problems each to solve. The results have shown that every candidate has solved correctly at least one problem, and that a total of 100 100 problems have been evaluated by the jury as correct. Show that there were, at most, 25 25 winners who got the maximum score.