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The bridge problem There are 52 cards, each from one of four different suits, in a standard deck of playing cards. At the beginning of
The bridge problem There are 52 cards, each from one of four different suits, in a standard deck of playing cards. At the beginning of a round of bridge, each player is dealt a hand of thirteen cards. 6.(i) Since the deck has 52 cards and a hand consists of 13 cards, there are C(52,13) = 635013559600 possible hands in bridge. How many of these hands contain cards from *exactly* two suits? 6.(ii) In bridge, there are always four players, called North, South, East and West (North and South sit across from each other and play as a team, ditto for East and West, but that is irrelevant to this problem). How many different configurations for a deal of cards around the table are possible? Note: a player's identity at the table (North, East, etc.) should be taken into account, but the order of the cards in a hand doesn't matter
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