A) \[(p\wedge q)\vee (p\vee \tilde{\ }r)\]
B) \[(p\wedge q)\vee (p\wedge \tilde{\ }r)\]
C) \[(p\wedge q)\wedge (p\wedge \tilde{\ }r)\]
D) \[p\vee q\]
Correct Answer: C
Solution :
[c] \[\tilde{\ }[(p\wedge q)\to (\tilde{\ }p\vee r)]\equiv (p\wedge q)\vee [\tilde{\ }(\tilde{\ }p\vee r)]\] \[\equiv (p\wedge q)\wedge (p\wedge \tilde{\ }r)\]
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