These cards have never been dealt before.
There are 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440,883,277,824,000,000,000,000 ways to shuffle a deck of cards.
With more possible arrangements than atoms on Earth, every shuffle is statistically unprecedented — and almost certainly unrepeatable.
Frequently asked questions
How many ways are there to shuffle a deck of cards?
A standard 52-card deck can be arranged in 52 factorial (52!) ways — about 80,658,175,170,943,878,571,660,636,856,403,766,975,289,505,440,883,277,824,000,000,000,000 distinct orderings. That number grows with every card you add to the deck.
What is 52 factorial (52!)?
52 factorial is the product of every whole number from 1 through 52: 52 × 51 × 50 × … × 1. It counts how many different sequences you can form when every card in a full deck appears exactly once.
Has a deck of cards ever been shuffled the same way twice?
Almost certainly not. With roughly 8 × 10^67 possible orderings, the chance that any two shuffles in human history produced the identical sequence is effectively zero — even if every person alive shuffled a deck every second since the universe began.
Why is every shuffle statistically unique?
Because the number of possible card orderings is so vast that random shuffling almost never lands on a sequence that has appeared before. Each new shuffle explores a tiny, negligible fraction of the total possibility space.
Are there really more deck orderings than atoms on Earth?
Yes. Earth contains roughly 10^50 atoms, while a 52-card deck has about 10^67 possible arrangements — more than a billion billion times as many. No physical object on the planet comes close to that count.
What are the odds that two shuffles produce the same order?
About 1 in 8 × 10^67 for a fair shuffle of a full deck. That is comparable to winning the lottery jackpot many times in a row, then being struck by lightning on the way to collect the prize.
How is the number of card arrangements calculated?
You multiply the number of choices at each position: 52 options for the first card, 51 for the second, and so on down to 1. Written as a formula, that is 52! = 52 × 51 × 50 × … × 1.
What does "never dealt" mean on NeverDealt.com?
NeverDealt.com shows a randomly generated card order and illustrates how unlikely it is that this exact sequence has ever been dealt in real life. The name reflects a simple fact: with 52! possibilities, your shuffle is almost certainly a first.
How many shuffles does it take to randomize a deck?
For a standard riffle shuffle — splitting the deck roughly in half and interleaving the cards — mathematicians Bayer and Diaconis showed that about seven shuffles are enough to mix a deck to casino-level randomness. Fewer than that can leave patterns a sharp eye might notice; more shuffles keep improving the mix, but seven is the widely cited benchmark.
Is a new, unopened deck of cards in random order?
No. Factory-fresh decks usually arrive in a fixed pattern: suits grouped together and ranks running from ace to king. That order is predictable and is just one arrangement out of 52!, so it is about as far from a random shuffle as you can get.
Could a computer ever list every possible deck order?
Not in any practical sense. At roughly 8 × 10^67 arrangements, storing or printing each one would require more data than exists in the observable universe — and checking them one per second would take far longer than the age of the cosmos.