# Pursue an easier approach, considering the Pigeonhole Principle

# Pursue an easier approach, considering the Pigeonhole Principle

“Pursue an easier approach, considering the Pigeonhole Principle” offers an introduction to a mathematical principle by way of answering a version of a popular mathematics question: “are there are two non-bald people in London with the same number of hairs on their heads?” Formally, the Pigeonhole Principle is stated: If *n* items are put into *m* containers and n>m, then at least one container contains more than one item. The discussion is illustrated with numerous hand-drawn sketches. The Pigeonhole Principle allows readers to solve problems that seem to require counting, without ever having to count. Mathematics students and enthusiasts are encouraged to pursue engaging, if unconventional, paths as they work toward solutions in mathematics and life. At the chapter’s end, readers may check their understanding by working on a problem. A solution is provided.

*Keywords:*
Pigeonhole Principle, counting, math, student, mathematical principle

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .