The PIGEON-HOLE principle (ESSAY!)

There are two non-bald men in New York city with exactly the same number of hairs on their heads!

This bizarre fact follows from a very simple and extraordinarily powerful principle first coined by Dirichlet in 1834 as the SchubfachPrinzip. Today it is known as the pigeon-hole principle. This chapter on the topic appears as chapter 20 of THINKING MATHEMATICS! Vol 2: Advanced Counting and Advanced Number Systems. The book appears here.

Chapter 20_The Pigeon-Hole Principle

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