« Vrati se
In a mathematical competition, in which 6 problems were posed to the participants, every two of these problems were solved by more than \frac 25 of the contestants. Moreover, no contestant solved all the 6 problems. Show that there are at least 2 contestants who solved exactly 5 problems each.

Radu Gologan and Dan Schwartz

Slični zadaci

#NaslovOznakeRj.KvalitetaTežina
2303IMO Shortlist 2009 problem C74
2246IMO Shortlist 2007 problem C63
2021IMO Shortlist 1999 problem C53
1940IMO Shortlist 1996 problem C52
1894IMO Shortlist 1994 problem N31
1860IMO Shortlist 1993 problem C30