a) 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?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Solve this by translating statements into logical expressions and reasoning. Answer a) and b)

saw both Smith and Jones with Cooper the day of the
killing and that either Smith or Jones must have killed
him. Can you determine who the murderer was if
a) 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?
Transcribed Image Text:saw both Smith and Jones with Cooper the day of the killing and that either Smith or Jones must have killed him. Can you determine who the murderer was if a) 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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11
Exercises 32-38 are puzzles that can be solved by translating
statements into logical expressions and reasoning from these
expressions using truth tables.
32. 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 states
that he did not know Cooper and that he was out of town
the day Cooper was killed. Williams also states that he
Transcribed Image Text:-t- st or or es W 7- e 11 Exercises 32-38 are puzzles that can be solved by translating statements into logical expressions and reasoning from these expressions using truth tables. 32. 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 states that he did not know Cooper and that he was out of town the day Cooper was killed. Williams also states that he
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