Mathematical Logic And Boolean Algebra Question 58

Question: Which of the following is a contradiction

Options:

A) $ (p\wedge q)\wedge \tilde{\ }(p\vee q) $

B) $ p\vee (\tilde{\ }p\wedge q) $

C) $ (p\Rightarrow q)\Rightarrow p $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

p q pƙq pƚq $ \tilde{\ }(p\vee q) $ $ (p\wedge q)\ \wedge \tilde{\ }(p\vee q) $ T T T T F F T F F T F F F T F T F F F F F F T F \ $ (p\wedge q)\wedge (\tilde{\ }(p\vee q)) $ is a contradiction.



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