If you want to learn more about the complexities of Rummy, especially when playing with a 51-card deck, you must grasp these basic rules. Deck Structure. The four sumajestic slotsits—hearts, diamonds, clubs, & spades—each with 13 cards from Ace to King can be included in the 51-card deck. The way melds and runs are formed can be greatly impacted by the absence of one card. Players might find it more difficult to finish specific sets or runs that depend on a joker, for example, if that card is eliminated.