IMC 2002 / B2
Source: IMC 2002 day 2 problem 2
July 29, 2005
probabilityIMCcollege contestsProbabilistic Method
Problem Statement
200 students participated in a math contest. They had 6 problems to solve. Each problem was correctly solved by at least 120 participants. Prove that there must be 2 participants such that every problem was solved by at least one of these two students.