How Many 5 Stud Poker Hands Are There?

In poker, a player is dealt five cards and must make the best hand possible using any combination of those cards. The number of possible five-card hands is:

There are 2,598,960 possible five-card hands in poker. The vast majority of these hands are what are known as “high card” hands, where the highest card in the hand is an ace and the other four cards are of lower rank (2-10).

There are also “one pair” hands, where two of the five cards have the same rank and the other three cards are of different ranks. For example, a hand containing an ace, two kings and two queens would be considered a “one pair” hand.

PRO TIP:The number of 5 stud poker hands is 2,598,960. This is due to the fact that there are five cards from which a player can choose from and with four suits, this means the total number of possible hands is 5 x 4 x 3 x 2 x 1 = 120 different combinations.

There are also “two pair” hands, where two different pairs are present in the hand. For example, a hand containing two aces and two kings would be considered a “two pair” hand.

Finally, there are “three of a kind” hands, where three cards have the same rank and the other two cards are of different ranks. For example, a hand containing three aces and two queens would be considered a “three of a kind” hand.

The number of possible five-card poker hands can be calculated using the formula: n(n-1)(n-2)(n-3)(n-4)/5! = 2,598,960

This formula takes into account that there are Ace high (the most common type), King high, Queen high, Jack high and 10 high straight flush possibilities; as well as all of the other various types of poker hands possible.