Question: [ 1 0 Pts ] Use logical reasoning to solve the following puzzle: A detective has interviewed four witnesses to a crime. From the stories

[10 Pts] Use logical reasoning to solve the following puzzle:
A detective has interviewed four witnesses to a crime. From the stories of the witnesses
the detective has concluded that if the butler is telling the truth then so is the cook. The
cook and the gardener are either both telling the truth or they are both lying. Either
the gardener or the handyman is telling the truth, but not both. If the handyman is
lying then so is the cook. Determine which witnesses are lying and which are telling
the truth. Define four basic propositions and use these to describe the four statements
above. Then use deductive reasoning, not truth tables, to derive the truth of each of
those basic propositions.
[10 Pts] Use logical reasoning to solve the following puzzle: A

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