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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]
Each straight flush is ranked by the rank of its highest-ranking card. For example, 🎉 10♣ 9♣ 8♣ 7♣ 6♣ ranks higher than 8♥ 7♥ 6♥ 5♥ 4♥, which ranks higher than 6♠ 5♠ 4♠ 🎉 3♠ 2♠. Straight flush hands that differ by suit alone, such as 7♦ 6♦ 5♦ 4♦ 3♦ and 7♠ 6♠ 🎉 5♠ 4♠ 3♠, are of equal rank.[6][13]
Flush [ edit ]
Each straight is ranked by the rank of its highest-ranking card. 🎉 For example, J♥ 10♥ 9♣ 8♠ 7♥ ranks higher than 10♠ 9♠ 8♣ 7♥ 6♠, which ranks higher than 6♣ 🎉 5♠ 4♥ 3♠ 2♦. Straight hands that differ by suit alone, such as 9♣ 8♣ 7♣ 6♦ 5♦ and 9♠ 🎉 8♠ 7♠ 6♥ 5♥, are of equal rank.[6][13]
One pair [ edit ]
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