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a c. A deck is a set of 52 cards. A card has a suit {S, H,C,D} and a value {2,3, 4, ...,10,J,Q,K, A}; four

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a c. A deck is a set of 52 cards. A card has a suit {S, H,C,D} and a value {2,3, 4, ...,10,J,Q,K, A}; four different suits and 13 different values. A 2 poker hand is a 5 cards subset from the deck. Q: How many different hands are there in a game of poker? Prove it. [10 marks Q: Count the number of hands that are two-pairs (Two pair is a hand that contains two cards of one rank, two cards of another rank and one card of a third rank.) (10 marks] a a

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