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The exercise is a puzzle that can be solved by translating

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

Solution for problem 32E Chapter 1.2

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 32E

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?

Step-by-Step Solution:

SOLUTION Step 1We have to solve the given puzzle Step 2a)We have to check who is the innocent personSmith said Jones and Cooper were friends, but Jones said Cooper and Jones did not know each other. So one of them is lying.Consider William’s statement.William said he saw both Smith and Jones with Cooper that day, but Jones said he was out of town.This concludes that Jones is one who is lying .Therefore Jones was the murderer.Since he said that he did not know Cooper, the fact that he was with him.Therefore Jones is the murderer.sb) If all are innocent, then all of their statement is...

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Chapter 1.2, Problem 32E is Solved
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Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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The exercise is a puzzle that can be solved by translating

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