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Math / Discrete Mathematics and Its Applications 7 / Chapter 1.2 / Problem 32E

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

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Chapter 1, Problem 32E

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QUESTION:

The exercise is a puzzle that can be solved by translating Statements into logical expressions and reasoning from these expressions using truth tables.The police have three suspects for the murder of Mr. Cooper: Mr. Smith, Mr. Jones, and Mr. Williams. Smith, Jones, and Williams each declare that they did not kill Cooper. Smith also states that Cooper was a friend of Jones and that Williams disliked him. Jones also slates that he did not know Cooper and that he was out of town the day Cooper was killed. Williams also slates that he saw both Smith and Jones with Cooper the day of the killing and that either Smith or Jones must have killed hint. Can you determine who the murderer was ifa) one of the three men is guilty, the two innocent men are telling the truth, but the statements of the guilty man may or may not be true?________________b) innocent men do not lie?

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QUESTION:

The exercise is a puzzle that can be solved by translating Statements into logical expressions and reasoning from these expressions using truth tables.The police have three suspects for the murder of Mr. Cooper: Mr. Smith, Mr. Jones, and Mr. Williams. Smith, Jones, and Williams each declare that they did not kill Cooper. Smith also states that Cooper was a friend of Jones and that Williams disliked him. Jones also slates that he did not know Cooper and that he was out of town the day Cooper was killed. Williams also slates that he saw both Smith and Jones with Cooper the day of the killing and that either Smith or Jones must have killed hint. Can you determine who the murderer was ifa) one of the three men is guilty, the two innocent men are telling the truth, but the statements of the guilty man may or may not be true?________________b) innocent men do not lie?

ANSWER:

SOLUTION Step 1We have to solve the given puzzle

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