In a mathematical competition, in which 6 problems were posed to the participants, every two of these problems were solved by more than 2/5 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.

source: IMO 2005

The Indian government has shielded the ranch regulations, contending that they are Government Contracts important to modernize the agrarian area and work on the livelihoods of ranchers.

Posted by Avram Hensley on 2023-04-18 03:52:24