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Consider this variation of the game of Nim. The game

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 11E Chapter 5.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 11E

Consider this variation of the game of Nim. The game begins with n matches. Two players take turns removing matches, one, two. or three at a time. The player removing the last match loses. Use strong induction to show that if each player plays the best strategy possible, the first player wins if n = 4 j, 4j + 2, or 4j + 3 for some nonnegative integer j and the second player wins in the remaining case when n = 4j + 1 for some nonnegative integer j.

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Chapter 5.2, Problem 11E is Solved
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Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

The answer to “Consider this variation of the game of Nim. The game begins with n matches. Two players take turns removing matches, one, two. or three at a time. The player removing the last match loses. Use strong induction to show that if each player plays the best strategy possible, the first player wins if n = 4 j, 4j + 2, or 4j + 3 for some nonnegative integer j and the second player wins in the remaining case when n = 4j + 1 for some nonnegative integer j.” is broken down into a number of easy to follow steps, and 89 words. Since the solution to 11E from 5.2 chapter was answered, more than 447 students have viewed the full step-by-step answer. This full solution covers the following key subjects: player, Game, removing, wins, some. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. The full step-by-step solution to problem: 11E from chapter: 5.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7.

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Consider this variation of the game of Nim. The game