Suppose you have a standard 52-card deck (four suits - spades, clubs, diamonds, hearts. 13 cards of each suit - 2 through 10, ace, jack, queen, king, where the last three types are considered face cards), and you are playing a game with another person where you each are dealt two cards. How many ways are there to do each of the following? (a) You get the same kind of cards as your opponent (e.g., you both get a 2 and 3, or both get a queen and king, or both get two aces, etc.). (b) All four cards between the two of you are from different suits. (c) You are both dealt two cards of the same suit, but the suit you have is different from your opponent (e.g., your opponent has two spades, but you have two diamonds).
Suppose you have a standard 52-card deck (four suits - spades, clubs, diamonds, hearts. 13 cards of
each suit - 2 through 10, ace, jack, queen, king, where the last three types are considered face cards),
and you are playing a game with another person where you each are dealt two cards. How many
ways are there to do each of the following?
(a) You get the same kind of cards as your opponent (e.g., you both get a 2 and 3, or both get a
queen and king, or both get two aces, etc.).
(b) All four cards between the two of you are from different suits.
(c) You are both dealt two cards of the same suit, but the suit you have is different from your
opponent (e.g., your opponent has two spades, but you have two diamonds).
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