Mãos de Poker (5 de 52)
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
C(52,5) = 2.598.960
About this calculator
This calculator determines the total number of possible poker hands when 5 cards are dealt from a standard 52-card deck. The calculation is based on simple combination, represented by C(52,5), which ignores the order of cards. The result is 2,598,960, a key number for understanding poker probabilities.
The formula used is the combination of 52 items taken 5 at a time: C(52,5) = 52! / (5! * (52-5)!). It calculates how many distinct groups of 5 cards can be formed. It does not consider order or replacement, reflecting the actual deal of a poker hand.
Use this calculator to check the total possible hands in poker variants that use 5 cards, such as Texas Hold'em (considering only the final 5 cards) or Five Card Draw. It is useful for players wanting to understand hand rarity or for probability students.
Caution: this number represents all equally likely hands, but in real poker the probability of a specific hand depends on card distribution. Also, in games with wild cards or 7-card hands, the total changes. This calculator is for the standard 5-card no-wild-card case.
Frequently asked questions
Why is the number of poker hands 2,598,960 and not 52 times 51 times 50 times 49 times 48?
Because the order of cards does not matter in a poker hand. 52*51*50*49*48 counts permutations (order matters), while combinations ignore order, resulting in a smaller number.
Does this calculation include all possible hands, like pairs, straights, and flushes?
Yes, it includes all 5-card combinations, from high card to royal flush. Each specific hand has a probability of 1 in 2,598,960.
Does the number change if I'm playing Texas Hold'em with 7 available cards?
Yes, in Texas Hold'em you choose 5 of 7 cards, so the number of 5-card combinations from 7 is C(7,5)=21, but the total possible hands from the deck is still 2,598,960.
How do I calculate the probability of being dealt a pair of aces?
First, count how many hands contain a pair of aces (e.g., 6 * C(48,3) = 6*17296 = 103,776) and divide by the total hands (2,598,960) to get about 3.99%.
Does this calculator consider wild cards or jokers?
No, it considers a standard 52-card deck without wild cards. With wild cards, the number of hands increases and probabilities change.