A) \[p\wedge [q\vee (p\wedge q)\vee r]\]
B) \[(\tilde{\ }p)\vee [(\tilde{\ }q)\vee (p\wedge q)\vee (\tilde{\ }r)]\]
C) \[(\tilde{\ }p)\wedge [(\tilde{\ }q)\vee (p\vee q)\vee r]\]
D) \[(\tilde{\ }p)\vee [(\tilde{\ }q)\vee (p\wedge q)\vee r]\]
Correct Answer: B
Solution :
In duality ?AND? is converted to ?OR? and ?OR? is converted to ?AND?. Therefore, dual f the statement \[(\tilde{\ }p)\wedge [(\tilde{\ }q)\,\,\wedge (p\,\vee q)\wedge (\tilde{\ }r)]\] is \[(\tilde{\ }p)\vee [(\tilde{\ }q)\,\,\vee (p\wedge q)\vee (\tilde{\ }r)]\]
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