« Vrati se
Twenty-one girls and twenty-one boys took part in a mathematical competition. It turned out that each contestant solved at most six problems, and for each pair of a girl and a boy, there was at least one problem that was solved by both the girl and the boy. Show that there is a problem that was solved by at least three girls and at least three boys.

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2303IMO Shortlist 2009 problem C74
2246IMO Shortlist 2007 problem C63
2187IMO Shortlist 2005 problem C65
2077IMO Shortlist 2001 problem C70
2021IMO Shortlist 1999 problem C53
1992IMO Shortlist 1998 problem C510