Concept explainers
Exercises 36-42 are puzzles that can be solved by translating statements into logical expressions and reasoning from these expressions using truth tables.
36. The police have three suspects for the murder of Mr. Cooper: Mr. Smith, Mr. Jones, and Mr. 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 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 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 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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Discrete Mathematics and Its Applications ( 8th International Edition ) ISBN:9781260091991
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