MathDB
2020 BMT Team 2

Source:

January 9, 2022
combinatorics

Problem Statement

There are 3838 people in the California Baseball League (CBL). The CBL cannot start playing games until people are split into teams of exactly 99 people (with each person in exactly one team). Moreover, there must be an even number of teams. What is the fewest number of people who must join the CBL such that the CBL can start playing games? The CBL may not revoke membership of the 3838 people already in the CBL.