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2017 Latvia Baltic Way TST
8
8
Part of
2017 Latvia Baltic Way TST
Problems
(1)
2017 chess players in chess tournament, trios wanted
Source: 2017 Latvia BW TST P8
12/18/2022
2017
2017
2017
chess players participated in the chess tournament, each of them played exactly one chess game with each other. Let's call a trio of chess players
A
,
B
,
C
A, B, C
A
,
B
,
C
a principled one, if
A
A
A
defeated
B
B
B
,
B
B
B
defeated
C
C
C
, and
C
C
C
defeated
A
A
A
. What is the largest possible number of threes of principled chess players?
combinatorics