There are nine categories of hand when using a standard 52-card deck, except under ace-to-five low rules where straights, flushes 💶 and straight flushes are not recognized. An additional category, five of a kind, exists when using one or more wild 💶 cards. The fewer hands a category contains, the higher its rank.[9] There are 52 ! ( 52 − 5 ) 💶 ! = 311,875,200 {\displaystyle {\begin{matrix}{\frac {52!}{(52-5)!}}=311{,}875{,}200\end{matrix}}} ways to deal five cards from the deck but only 52 ! ( 52 💶 − 5 ) ! 5 ! = 2,598,960 {\displaystyle {\begin{matrix}{\frac {52!}{(52-5)!5!}}=2{,}598{,}960\end{matrix}}} distinct hands, because the order in which cards are 💶 dealt or arranged in a hand does not matter.[10] Moreover, since hands differing only by suit are of equal rank, 💶 there are only 7,462 distinct hand ranks.[11]
In community card games, such as Texas hold 'em, three of a kind is 💶 called a set only when it comprises a pocket pair and a third card on the board.[24]
Two pair [ edit 💶 ]
One pair, or simply a pair, is a hand that contains two cards of one rank and three cards of 💶 three other ranks (the kickers), such as 4♥ 4♠K♠10♦ 5♠("one pair, fours" or a "pair of fours"). 💶 It ranks below two pair and above high card.[5]
Under deuce-to-seven low rules, a seven-five-high hand, such as 7♠5♣ 4♦ 💶 3♦ 2♣, is the best possible hand.[27] Under ace-to-six low rules, where aces have the lowest rank, a six-four-high hand, 💶 such as 6♣ 4♠3♥ 2♥ A♦, is the best possible hand.[28] Under ace-to-five low rules, where aces have the 💶 lowest rank and straights, flushes and straight flushes are not possible, a five-high hand, such as 5♣ 4♠3♥ 2♥ 💶 A♦ or 5♠4♠3♠2♠A♠, commonly known as a bicycle or wheel, is the best possible hand.[7][22]