MathDB
14 teams in 799 such that first 7 teams have each defeated remaining ones

Source: Indian Postal Coaching 2008 set 5 p3

May 25, 2020
combinatorics

Problem Statement

Show that in a tournament of 799799 teams (every team plays with every other team for a win or loss), there exist 1414 teams such that the first seven teams have each defeated the remaining teams.