Publisher, Mathologer, Video, YouTube
Let's say there are more pigeons than pigeon holes. Then, if all the pigeons are in the holes, at least one of the holes must house at least two of the pigeons. Completely obvious. However, this unassuming pigeon hole principle strikes all over mathematics and yields some really surprising, deep and beautiful results. In this video the Mathologer presents his favourite seven applications of the pigeon hole principle.
16 May 2021 Edit: 16 May 2021
User submitted, thanks to Nordin Zuber