w10 - Math 55 Worksheet Permutations Combinations 1...

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Unformatted text preview: Math 55 Worksheet Permutations, Combinations 1. Five-card draw is played with a standard, 52-card deck. There are 13 different kinds, or ranks of cards: the numbers 2 to 10, and the face cards, jack (J), queen (Q), king (K) and ace (A). And there are four cards of each rank, each in one of the four suits: clubs ( ♣ ), diamonds ( ♦ ), hearts ( ♥ ) and spades ( ♠ ). Certain combinations of cards are called “hands” – these hands are listed below, in order from best to worst. So a player who draws a four-of-a-kind beats a player who draws a straight. A player’s best hand is the best combination they can make from their cards. So a player with A ♥ A ♣ 4 ♣ 2 ♥ 4 ♠ can make one pair – aces – but their “best hand” is two pairs, aces and fours. How many ways are there for each of these to be drawn as someone’s best five-card hand: (a) straight flush? (Five consecutive cards of the same suit. The ace can be the highest card in the straight, or the lowest, but not both at once – A2345 and 10JQKA are allowed, but QKA23 is not.)or the lowest, but not both at once – A2345 and 10JQKA are allowed, but QKA23 is not....
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This note was uploaded on 02/06/2012 for the course MATHEMATIC 55 taught by Professor Robbayer during the Summer '09 term at Berkeley.

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