Card Shuffle Permutations Calculator
Reviewed by Hamza Gujjar, Algorithm Architect & Software Developer
Last updated: July 28, 2026Card Shuffle Permutations Calculator
Just how unique is every shuffle? This calculator computes the total possible orderings for a deck of any size.
Total Orderings = Deck Size! (factorial)
Example
A standard 52-card deck:
52! ≈ 10^68 possible orderings
A Truly Incomprehensible Number
A standard 52-card deck has 52 factorial possible orderings - a number so large that every time a deck is properly, thoroughly shuffled, the resulting exact order has almost certainly never existed before in the entire history of card shuffling.
Bigger Than the Atoms in the Galaxy
52! vastly exceeds even the estimated number of atoms in our entire galaxy - a genuinely mind-bending illustration of how quickly factorial growth outpaces intuition, even for something as seemingly simple as shuffling a deck of playing cards.