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Question 5 A standard poker deck contains 52 cards. A perfect shuffle consists of taking the top 26 into your left hand, the bottom 26 into your right hand, and then interleaving them so that the top card from your left hand is on top, then the top card from your right, then the next from your left, etc. Number the cards 1 to 52, starting at the top of the deck, and think of a perfect shuffle as a permutation. 1. Write this permutation as a product of disjoint cycles. 2. Find the order of this permutation. 3. What is the real world implication of this fact?

Question 5 A standard poker deck contains 52 cards. A perfect shuffle consists of taking the top 26 into your left hand, the bottom 26 into your right hand, and then interleaving them so that the top card from your left hand is on top, then the top card from your right, then the next from your left, etc. Number the cards 1 to 52, starting at the top of the deck, and think of a perfect shuffle as a permutation. 1. Write this permutation as a product of disjoint cycles. 2. Find the order of this permutation. 3. What is the real world implication of this fact?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.7: Combinations
Problem 25E
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Question 5 A standard poker deck contains 52 cards. A perfect shuffle consists of taking the top 26 into your left hand, the bottom 26 into your right hand, and then interleaving them so that the top card from your left hand is on top, then the top card from your right, then the next from your left, etc. Number the cards 1 to 52, starting at the top of the deck, and think of a perfect shuffle as a permutation. 1. Write this permutation as a product of disjoint cycles. 2. Find the order of this permutation. 3. What is the real world implication of this fact?
Transcribed Image Text:Question 5 A standard poker deck contains 52 cards. A perfect shuffle consists of taking the top 26 into your left hand, the bottom 26 into your right hand, and then interleaving them so that the top card from your left hand is on top, then the top card from your right, then the next from your left, etc. Number the cards 1 to 52, starting at the top of the deck, and think of a perfect shuffle as a permutation. 1. Write this permutation as a product of disjoint cycles. 2. Find the order of this permutation. 3. What is the real world implication of this fact?
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