MathDB
TOT 2000 Autumn AJ6 min no of participants in spring round tot

Source:

May 10, 2020
Tournamentcombinatorics

Problem Statement

In the spring round of the Tournament of Towns this year, 66 problems were posed in the Senior A-Level paper. In a certain country, each problem was solved by exactly 10001000 participants, but no two participants solved all 66 problems between them. What is the smallest possible number of participants from this country in the spring round Senior A-Level paper?
(R Zhenodarov)