# w10 - Math 55 Worksheet Permutations Combinations 1...

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

## This note was uploaded on 02/06/2012 for the course MATHEMATIC 55 taught by Professor Robbayer during the Summer '09 term at Berkeley.

Ask a homework question - tutors are online