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Maths

What is the Pigeonhole Principle?

Episode 786 12:44

In this episode

Did you know there are definitely two people in London right now with the EXACT same number of hairs on their heads? And nobody even had to count them to figure it out! This mind-bending math magic is called the Pigeonhole Principle. It is super simple: imagine you have four sleepy pigeons, but only three wooden boxes for them to sleep in. No matter what, at least one pigeon is going to have to share a box! That simple idea is actually a mathematical superpower, perfected by a German mathematician named Peter Gustav Lejeune Dirichlet in 1834 (though people in France were using it for hair puzzles way back in 1622!). Join Mira and Finn as they use this awesome rule to uncover amazing hidden secrets about the world. Find out why any group of 13 people MUST have two people with the same birthday month, why pulling five playing cards always gives you a matching suit, and how this idea even works for counting leaves on trees! Get ready for a mathematical adventure!

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