[obm-l] Combinatória - Chess 7x7 [CMO]

["Daniel S. Braz" <dsbraz@xxxxxxxxx>]

Pessoal,

Colorado Mathematical Olympiad:

Chess 7x7
(a) Each member of two 7-member chess teams is to play once against
each member of the opposing team. Prove that as soon as 22 games have
been played, we can choose 4 players and seat them at a round table so
that each pair of neighbors has already played.
(b)Prove that 22 is the best possible; i.e., after 21 games the result
of (a) cannot be guaranteed.

[]s
daniel

-- 
"A essência da Matemática reside na sua liberdade." (G. Cantor)

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