We calculate permutations and combinations, their meanings and their differences, and we will use the permutation formula and combination formula to solve come counting problems. We'll also go over permutations with repetition and combinations with repetition. #discretemathematics
Permutation Formula and Why it Works: https://youtu.be/FiS4AD75Rpk
Permutations with Repetition: https://youtu.be/DwQa6kfMIgc
Combination Formula and why it Works: https://youtu.be/wKgiSUnbLxE
Combinations with Repetition: https://www.youtube.com/watch?v=EJ2ZkAqh25s
Discrete Math playlist: https://www.youtube.com/playlist?list=PLztBpqftvzxXgpx57CEhZScNk2lWs1LdU
Discrete Math exercises: https://www.youtube.com/playlist?list=PLztBpqftvzxW14CkPnOTIuGf2hUeX8jX0
00:00 Intro
00:33 Permutations
02:25 Combinations
04:38 Permutation Example with Repetition
06:35 Permutation Example without Repetition
08:20 Permutations on a Calculator
09:10 Second Permutation Example
10:58 Combination Example without Repetition
13:02 Combination Example with Repetition
14:06 Combinations on a Calculator
◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Abstract Algebra: https://amzn.to/3IjoZaO
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd
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Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
Thanks to Crayon Angel, my favorite musician in the world, who upon my request gave me permission to use his music in my math lessons: https://crayonangel.bandcamp.com/
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