CO1 What is Combinatorics?

A few examples of problems tackled in an introductory #combinatorics course. Subscribe @Shahriari for more undergraduate math videos. 00:00 Introduction 00:21 What is Combinatorics? 02:05 Aim: Stating a sample of easy to state introductory combinatorial problems 02:51 Problem 1: Counting sequences with restrictions 03:28 Problem 2: Counting boxes of donuts 03:59 Problem 3: Counting donuts again 04:22 Problem 4: Counting n digit numbers with restrictions 05:09 Problem 5: Seating guests around tables 06:25 Problem 6: Tiling Soccer Balls 07:08 Problem 7: Reconstructing a word given its triples 08:21 Problem 8: Knights & Knaves 09:38 Problem 9: Connecting Signaling Stations 11:40 Preview of the next lecture Next Lecture: https://youtu.be/ZMxVMiw-P1E A series of lectures on introductory Combinatorics. This full course is based on my book Shahriar Shahriari, An Invitation to Combinatorics, Cambridge University Press, 2022. DOI: https://doi.org/10.1017/9781108568708 For an annotated list of available videos see https://pomona.box.com/s/by2ay2872avxaf2lzv20i2mqurlpvfpr YouTube Playlist: https://youtube.com/playlist?list=PLpcU2wNhmPYcUS3Mt3y8O2fwduWzco4xV Shahriar Shahriari is the William Polk Russell Professor of Mathematics at Pomona College in Claremont, CA USA Shahriari is a 2015 winner of the Mathematical Association of America's Haimo Award for Distinguished Teaching of Mathematics, and six time winner of Pomona College's Wig teaching award.