MathDB
1600 bananas among 100 monkeys - 2023 Chile NMO L1 P5

Source:

May 19, 2024
combinatoricsalgebranumber theory

Problem Statement

16001600 bananas are distributed among 100100 monkeys (it is possible that some monkeys do not receive bananas). Prvove that at least four monkeys receive the same amount of bananas.