Regional Olympiad - FBH 2015 Grade 10 Problem 4
Source: Regional Olympiad - Federation of Bosnia and Herzegovina 2015
September 23, 2018
combinatorics
Problem Statement
On competition there were students. They were solving problems. Student who solves th problem gets points, while student who solves incorrectly th problem gets points.
Prove that there exist two students with exactly the same answers to problems
Prove that there exist at least students with same number of points