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Your textbook does a great job of taking you through several "more elegant" applications of the Pigeonhole Principle. In this video, I take you through one that isn't showcased in your textbook in proving that 9 ordered triples must have at least one pair that have integer midpoints. Video Chapters: Intro 0:00 Setting up the Proof 0:31 The Proof 6:18 Up Next 11:10 This playlist uses Discrete Mathematics and Its Applications, Rosen 8e Power Point slide decks to accompany the videos can be found here: https://bellevueuniversity-my.sharepoint.com/:f:/g/personal/kbrehm_bellevue_edu/Ei9DcmrOBTlAuMxWUoq9ZqsB14M60jcpob-xdAYS6ruVWw?e=uP9KN0 The entire playlist can be found here: https://www.youtube.com/playlist?list=PLl-gb0E4MII0sGLCJeqDB3y63HZ6lM5LJ
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