Turkey TST 2010 Q3
Source:
September 1, 2010
combinatorics proposedcombinatorics
Problem Statement
A teacher wants to divide the questions she asked in the exams during the school year into three folders of questions and give each folder to a student who solved all questions in that folder. Determine the minimum number of students in the class that makes this possible for all possible situations in which there are at most two students who did not solve any given question.