Question 29
The village of Roche has 2020 inhabitants. One day the mathematician Georges de Rham observes:
- Every villager knows another villager of the same age.
- Every group of 192 villagers contains at least three of the same age.
Prove that some 22 villagers all have the same age.
- Every villager knows another villager of the same age.
- Every group of 192 villagers contains at least three of the same age.
Prove that some 22 villagers all have the same age.