Summary
A standard 52-card deck can be arranged in an astonishing number of ways, specifically 52 factorial, which equals approximately 8.07 times 10 to the 67th power. This means there are more possible arrangements of a deck of cards than there are atoms on Earth. The concept of factorials helps illustrate this, as it involves multiplying a number by all smaller integers down to one. For example, the arrangements of four people in four chairs can be calculated as 4 factorial, resulting in 24 different seating combinations.
The discussion highlights how the sheer scale of permutations becomes unfathomable with larger numbers. If one were to write out a new permutation of a 52-card deck every second since the Big Bang, the task would still be ongoing today and would continue for millions of years. This emphasizes the uniqueness of each shuffle, suggesting that every time a deck is mixed, it likely results in an arrangement that has never existed before and may never exist again.
Show Notes
View full lesson: http://ed.ted.com/lessons/how-many-ways-can-you-arrange-a-deck-of-cards-yannay-khaikinUploaded 27-03-14One deck. Fifty-two cards. How many arrangements? Let's put it this way: Any time you pick up a well shuffled deck, you are almost certainly holding an arrangement of cards that has never before existed and might not exist again. Yannay Khaikin explains how factorials allow us to pinpoint the exact (very large) number of permutations in a standard deck of cards.Lesson by Yannay Khaikin, animation by The Moving Company Animation Studio. Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices
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