How many different ways can a standard deck of cards be sorted?

Think of your last card game – euchre, poker, Go Fish, whatever it was. Would you believe every time you gave the whole deck a proper shuffle, you were holding a sequence of cards which had never before existed in all of history? Consider how many card games must have taken place across the world since the beginning of humankind. No one has or likely ever will hold the exact same arrangement of 52 cards as you did during that game.

It seems unbelievable, but there are somewhere in the range of 8x1067 ways to sort a deck of cards. That’s an 8 followed by 67 zeros. To put that in perspective, even if someone could rearrange a deck of cards every second of the universe’s total existence, the universe would end before they would get even one billionth of the way to finding a repeat. This is the nature of probabilities with such great numbers. Though a long-time blackjack dealer might feel like they have shuffled thousands of cards in their lifetime, against a number this big, their rearrangements are irrelevant. There are simply too many ways to arrange 52 cards for any randomly organized set of cards to have repeated itself.

Don’t believe me? Consider how many ways you can order a deck of just four aces.
system
card ke ek maanak deck ko kitne alag -alag tareekon se hal kiya ja saktaa he?

apane antim card game ke bare main sochen - yure, pokar, go fish, jo bhi ho.kya aap vishwaas karenge ki har baar jab aap puure deck ko ek uchit pherbadal dete hai, to aap card kaa ek anukram pakad rahe the jo ki itihaas ke sabhi main maujuud nahin the?vichaar karen ki maanav jati kii shuruyaat ke baad se duniya bhar main kitne card game hue honge.kisi ke paas yaa sambhavat: kabhi bhi 52 cardon kii sateek vyavastha nahin hogi jaisaa ki aapane us game ke dauraan kiya tha.

yah avishwasaneey lagata he, lekin card ke ek deck ko sort karne ke liye 8x1067 tareekon kii seemaa main kahin hai.yah ek 8 ke baad 67 shunya he.us pariprekshya main, bhale hi koi brahmad ke kul astitv ke har second ke card ke ek deck ko punarvyavasthit kar saktaa he, brahmad ko samaapt karne se pehle unhen dohraane kaa ek arabavaan hissaa mil jayega.yah aisi badi sankhyaon ke saath sambhaavnaaon kii prakruti he.haalanki ek lambey samay se lathi dealer ko aisa lag saktaa he ki unhone apane jeevankaal main hajaaron cardon ko pherbadal kiya he, is badi sankhya ke khilaaf, unke punarvyavastha apraasangik hai.card ke kisi bhi betaratib dhang se yojit set ke liye 52 card kii vyavastha karne ke liye bas kai tareeke hai.

mujhe vishwaas nahin he?vichaar karen ki aap kitne tareekon se sirf chaar ikke kaa deck order kar sakate hai.
user
anumaanit 8x1067 alag -alag tareeke hai jo card ke ek maanak deck ko krambaddh kiya ja saktaa he.
assistant
<|system|>
</s>
<|user|>
card ke ek maanak deck ko kitne alag -alag tareekon se hal kiya ja saktaa he?

apane antim card game ke bare main sochen - yure, pokar, go fish, jo bhi ho.kya aap vishwaas karenge ki har baar jab aap puure deck ko ek uchit pherbadal dete hai, to aap card kaa ek anukram pakad rahe the jo ki itihaas ke sabhi main maujuud nahin the?vichaar karen ki maanav jati kii shuruyaat ke baad se duniya bhar main kitne card game hue honge.kisi ke paas yaa sambhavat: kabhi bhi 52 cardon kii sateek vyavastha nahin hogi jaisaa ki aapane us game ke dauraan kiya tha.

yah avishwasaneey lagata he, lekin card ke ek deck ko sort karne ke liye 8x1067 tareekon kii seemaa main kahin hai.yah ek 8 ke baad 67 shunya he.us pariprekshya main, bhale hi koi brahmad ke kul astitv ke har second ke card ke ek deck ko punarvyavasthit kar saktaa he, brahmad ko samaapt karne se pehle unhen dohraane kaa ek arabavaan hissaa mil jayega.yah aisi badi sankhyaon ke saath sambhaavnaaon kii prakruti he.haalanki ek lambey samay se lathi dealer ko aisa lag saktaa he ki unhone apane jeevankaal main hajaaron cardon ko pherbadal kiya he, is badi sankhya ke khilaaf, unke punarvyavastha apraasangik hai.card ke kisi bhi betaratib dhang se yojit set ke liye 52 card kii vyavastha karne ke liye bas kai tareeke hai.

mujhe vishwaas nahin he?vichaar karen ki aap kitne tareekon se sirf chaar ikke kaa deck order kar sakate hai.</s>
<|assistant|>
anumaanit 8x1067 alag -alag tareeke hai jo card ke ek maanak deck ko krambaddh kiya ja saktaa he.</s>
