A freshly shuffled deck of 52 cards is almost certainly an order that has never existed before
Shuffle a deck thoroughly and you almost surely create a sequence of cards no human has ever held in all of history.
Pick up a deck, give it a real shuffle, and you are holding something genuinely new. The reason is a number called 52 factorial, written 52! — the product of every whole number from 52 down to 1.
The logic is simple. The first card can be any of 52, the second any of the remaining 51, the third any of 50, and so on. Multiply those choices together and the total explodes to roughly 8 × 10⁶⁷, a figure with 68 digits. That is vastly more than the estimated number of atoms making up the entire Earth.
Even shuffling one deck every second since the Big Bang would not scratch the surface of the possibilities.
Because the count of arrangements so wildly outstrips the number of shuffles people have ever performed, any thorough shuffle lands on an order that has, almost certainly, never existed before and will never appear again. Each time you mix the cards, you are quietly setting a one-of-a-kind record.
Sources & references
2 referencesWell-established. Corroborated by 2 independent sources.
