Problem #WSP-000506

Problems Methods Pigeonhole principle Pigeonhole principle (other)

Problem

Every year the citizens of the planet “Lotsofteeth" enter a contest in which they find the person with the most teeth. The judge notices that no one this year is toothless and that there are more people than the number of teeth in any single person. Is it true that there are two people with exactly the same number of teeth and why?