Use the examples in the slides to answer the question. In the game of poker played with an ordinary deck of 52 cards various five-card holdings are given special names. The name "three of a kind" is reserved for a holdingthat meets the following rule:Three cards of the same denomination and two other cards of different denominations.The number of distinct "three of a kind" that can be drawn from a 52-card deck can be calculated with the following product expression:(²12) (4)2 SLIDES:-Four of a kindFull houseFlushWhat are we choosing? Your turn(¹3)(¹2)(33)()(¹9) (4)Straight54 cards one denominationwith free fifth card(19)9)(¹9) (4)3 cards one denomination2 cards another denomination (¹3)(3)(¹)()Denomination for three cardsSuit for three cardsStraight flushChooseChoose fifth carddenomination denomination and suitSuit for two cardsNamed Hands of Cards 3Denomination for two cards5 cards same suitNot straight or royal flush(30)Choose five cards in a suitChoose the suit5 adjacent denominationsNot all same suit13SubtractChoose starting denomination of straight straight orChoose suitroyal flush(34)-(0)5(¹9) (4) ³ - (94)Choose starting denomination of straightChoose a suit for each of five cards5 in order, same suit,not royal flush, Ace H/LChoose starting denomination of straightChoose one suit for all five cardsExample 9.5.9 Poker Hand Problems in Epp on page 626In the card game poker, various 5-card hands have namesThe number of ways to select a named hand creates its probability ofbeing dealt at randomThe named hands are ordered by probability of selectionLower probability hand beats higher probability hands in the gameRoyal flush10,J,K,Q,A of same suit(*Count =Subtractstraights ofsame suitChoose 10, J, K,Q, A in one suit10 cards canstart the straightChoose one offour suits(49)0)-(Subtractfour royalflushesChoose one offour suits

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In the game of poker played with an ordinary deck of 52 cards various five-card holdings are given special names. The name "three of a kind" is reserved for a that meets the following rule: Three cards of the same denomination and two other cards of different denominations. The number of distinct "three of a kind" that can be drawn from a 52-card deck can be calculated with the following product expression: (4) (4)()()3