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# s10 - Math 55 Worksheet Permutations Combinations 1...

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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.)

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