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Greece Junior Math Olympiad
2017 Greece Junior Math Olympiad
4
4
Part of
2017 Greece Junior Math Olympiad
Problems
(1)
largest possible value of n people in board game (Greece Juniors 2017 p4)
Source:
3/16/2020
A group of
n
n
n
people play a board game with the following rules: 1) In each round of the game exactly
3
3
3
people play 2) The game ends after exactly
n
n
n
rounds 3) Every pair of players has played together at least at one round Find the largest possible value of
n
n
n
combinatorics
max