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#combinatorics#factorial#probability

Math Magic

Vsauce

25M subscribers • 3 videos on Hallway

YouTube
  • Recommended by 2 people: 2 on Hacker News.
  • A classic. People kept recommending it from 2016 to 2024.
  • Presented by Michael Stevens, creator of Vsauce

Beginner. No background in the topic needed.

13M views10 years ago2 recommendations

Computer scienceMath for programmersAlgorithms

Michael Stevens explores mathematical card tricks and visualizes the mind-boggling scale of 52 factorial.

Links to sources, more math magic, and other cool things below! My Twitter: twitter.com/tweetsauce My Instagram: instagram.com/electricpants Thanks to Vanessa from BrainCraft! Check out her channel: youtube.com/user/braincraftvideo Matt Parker's standupmaths channel: youtube.com/user/standupmaths Matt's video I mention: youtube.com/watch?v=aNpGxZ_1KXU STEMMathsMagic channel: youtube.com/user/STEMMathsMagic The STEMMathsMagic video I reference: youtube.com/watch?v=r-LO8zQ9eTs STEMMathsMagic website (check out the manual!): mathematicalmagic.com/thetricks.html mismag is amazing. He introduced me to MANY self-working mathematical tricks. Please check him out! youtube.com/user/mismag822 MUSIC in this episode is from: Jake Chudnow: youtube.com/user/jakechudnow zach mccoy: zachmccoy.bandcamp.com/ audionetwork: audionetwork.com Shakespeare and Psalm 46: en.wikipedia.org/wiki/Psalm_46 umsl.edu/~thomaskp/sbible.htm apologeticspress.org/apcontent.aspx?category=13&article=925 Paper about which cards people think of most frequently (and more): www2.psych.ubc.ca/~rensink/publications/download/Cards-OAR.p… 52 factorial explained by Scott Czepiel: czep.net/weblog/52cards.html Some good math magic articles: maa.org/community/maa-columns/past-columns-card-colm/low-dow… futilitycloset.com/2015/06/25/color-scheme/ maa.org/external_archive/columns/colm/cardcolm200504.html ams.org/samplings/feature-column/fcarc-mulcahy5 mathforum.org/library/drmath/view/60379.html

Why it's here

2 people recommend this

What people say. Highly recommended for its vivid, mind-expanding visualization of how large 52 factorial actually is.

Kortaggioon Hacker News • Recommends

On “To approximate 52! by hand, compute 54! and divide by 3000”

Vsauce has a fantastic animation of this too: link to this video Deal yourself five cards every billion years. When you finally deal yourself a royal flush, buy a lottery ticket. If the ticket wins the lottery, throw a single grain of sand into the Grand Canyon. As soon as the Grand Canyon is completely full of sand, remove one ounce of rock from Mount Everest. By the time Mount Everest is level: take a look at the clock. You'll have to do the whole thing all over again 256 more times before your timer reaches zero.

redundantlyon Hacker News • Recommends

On “Every V4 UUID”

The number you're thinking of is 52! (52 factorial) and how long it would take for 52! seconds to pass by. Vsauce has a great video on this, and might be where that example was taken from. link to this video That example starts 16 minutes into the video: link to this video But it's worth watching the whole thing.

danbrucon Hacker News • Mentions

On “The 8000th Busy Beaver number eludes ZF set theory (2016)”

…utations of permutations of permutations of permutations of permutations of permutations of permutations of permutations of permutations of the particles in the universe. Trying to comprehend or compare the size of BB(745) is just futile. Here 1 is a well known attempt to convey the size of 52!, the number of permutations of a deck of cards. 1 link to this video…