This Card Trick Shouldn't Be Possible

Join the channel to get exclusive and early videos, original music, lecture videos, and more! https://www.youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join 🛍 Check out my math fashion brand: https://mathshion.com/ More Math Chats: https://www.youtube.com/playlist?list=PLztBpqftvzxXQDmPmSOwXSU9vOHgty1RO Business Inquiries: [email protected] A magician hands an ordinary 52 card deck to his assistant. The assistant shuffles the deck, and lets 5 audience members pick 1 card each from the deck. The magician has no clue what cards have been chosen. However, after the assistant reveals four cards to the magician, the magician confidently identifies the fifth card without ever seeing it. How is this possible? We'll do some combinatorial math to see if there's any way this trick could plausibly be done genuinely, finishing with a systematic method of carrying out the trick which works for ordinary people with ordinary brains. #maths #mathematics #cardtrick #magic MIT Lecture Notes this Presentation is Based On: https://ocw.mit.edu/courses/6-042j-mathematics-for-computer-science-fall-2005/0d1038c54d262f3cbab53c13d9935f8e_ln10.pdf Hall's Theorem Proof: https://www.youtube.com/watch?v=Ihr6gMx7b9c Textbooks I Like! Graph Theory: https://amzn.to/3JHQtZj Real Analysis: https://amzn.to/3CMdgjI Abstract Algebra: https://amzn.to/3IjoZaO Linear Algebra: https://amzn.to/43xAWEz Calculus: https://amzn.to/3PieD1M Proofs and Set Theory: https://amzn.to/367VBXP (available for free online) Statistics: https://amzn.to/4d5HbUQ Discrete Math: https://amzn.to/3qfhoUn Number Theory: https://amzn.to/3JqpOQd ★DONATE★ ◆ Support Wrath of Math on Patreon: https://www.patreon.com/join/wrathofmathlessons ◆ Donate on PayPal: https://www.paypal.me/wrathofmath Follow Wrath of Math on... ● Instagram: https://www.instagram.com/wrathofmathedu ● TikTok: https://www.tiktok.com/@wrathofmathedu ● X: https://x.com/wrathofmathedu 0:00 The Trick 1:24 Could it Be? 1:55 A Potential Method 3:38 There is Hope! 7:31 Matchings 9:16 Critical Question 15:35 So It IS Possible...Or Not 16:38 The Trick Explained At Last 22:49 One More Example