Minimal number of students
Source: 2018 JBMO TST - Turkey, P7
March 27, 2020
combinatorics
Problem Statement
In the round robin chess tournament organized in a school every two students played one match among themselves. Find the minimal possible number of students in the school if each girl student has at least 21 wins in matches against boy students and each boy student has at least 12 wins in matches against girl students.