Show that in a tournament of $799$ teams (every team plays with every other team for a win or loss), there exist $14$ teams such that the first seven teams have each defeated the remaining teams.
Source: Indian Postal Coaching 2008 set 5 p3
Tags: combinatorics
Show that in a tournament of $799$ teams (every team plays with every other team for a win or loss), there exist $14$ teams such that the first seven teams have each defeated the remaining teams.