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Q3. Two people play a game, at every turn remove 1, 2, or 3 stones at a time from a beg which contain 15 stones. The person who removes the last stone wins the game. Show by backward reasoning that the first player will always win the game.

Q3. Two people play a game, at every turn remove 1, 2, or 3 stones at a time from a beg which contain 15 stones. The person who removes the last stone wins the game. Show by backward reasoning that the first player will always win the game.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Q3. Two people play a game, at every turn remove 1, 2, or 3 stones at a time from a beg which contain 15 stones. The person who removes the last stone wins the game. Show by backward reasoning that the first player will always win the game.
Transcribed Image Text:Q3. Two people play a game, at every turn remove 1, 2, or 3 stones at a time from a beg which contain 15 stones. The person who removes the last stone wins the game. Show by backward reasoning that the first player will always win the game.
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