Total Poker Hands Calculator

The number behind every published poker odds figure

Every poker hand probability you've ever seen published traces back to this single combinatorics calculation - the total count of unique hands possible from a given deck size.

Worked example

For a standard 52-card deck dealing 5-card hands:

C(52,5) = 2,598,960 possible hands

This exact figure - 2,598,960 - is the denominator behind every standard 5-card poker hand probability you'll find published anywhere, from the roughly 1-in-2 chance of at least one pair to the famous 1-in-649,740 chance of a royal flush.