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is every card shuffle unique esquire middle east as the number of cards increases the factorial becomes huge so 10 is 3 628 800 permutations and by the time you get up to 20 the result is 2 432 902 008 176 640 000 for those who prefer words shuffling wikipedia shuffling techniques overhand shuffle one of the easiest shuffles to accomplish after a little practice is the overhand shuffle johan jonasson wrote the overhand shuffle is the shuffling technique where you gradually transfer the deck from say your right hand to your left hand by sliding off small packets from the top of the deck with your thumb a shuffled deck of cards is unique brain skewer what does that number even mean 52 is a hard number to grasp a word for this number would approximately be 80 unvigintillion or 8 10 67 it is significantly larger than the number of stars in the visible universe 10 67 card combinations versus 10 23 stars in the universe if all the approximately 6 billion people on earth began shuffling a deck of playing cards one time per second for the qi card shuffling 52 factorial the number of possible permutations of 52 cards is 52 factorial otherwise known as 52 or 52 shriek this is 52 times 51 times 50 all the way down to one here s what that looks like what s the best way to shuffle a deck of cards the surprising what s the best way to shuffle a deck of cards photo below is section of number of unique card shuffles report which is categorized within card number of different card shuffles number of unique card shuffles and posted at september 30 2019 a shuffled deck of cards is unique in all of reddit according to this source the number of unique shuffles of a 52 card deck is 52 or roughly 8 10 67 shuffles if someone shuffled cards continuously day and night and created a new shuffle every ten seconds and assuming that each shuffle was unique he would use up all possible shuffles in 2 5 10 61 years the universe has only been in existence for 13 7 10 9 years just how many possible card combinations are there i also assumed that an average human can shuffle a deck of cards once every 5 seconds we get a total of about 1 58e 50 total card shuffles since the beginning of time that may seem close but this is actually one 50 800 000 000 000 000 000th of 52 so the numbers in my explanation are 50 quintilian times those of the semi realistic numbers my semi realistic numbers actually aren t even wild explanation of how many 52 card deck combinations wild explanation of how many 52 card deck combinations there are just crushed my brain math by cass anderson 3 years ago facebook twitter reddit flipboard via shutterstock daniil yanopulo if you were to shuffle a deck of 52 cards and lay them out the possible order combinations are practically endless the total number of combinations is a factorial of 52 or 52 which translates to
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