A) \[\tilde{\ }S(p,q,r)\]
B) \[S(p,q,r)\]
C) \[p\vee (q\wedge r)\]
D) \[p\vee (q\vee r)\]
Correct Answer: D
Solution :
[d] \[S(p,q,r)=(\tilde{\ }p)\vee [\tilde{\ }(q\wedge r)]\] \[S(\tilde{\ }p,\tilde{\ }q,\tilde{\ }r)=\tilde{\ }(\tilde{\ }p)\vee [\tilde{\ }(\tilde{\ }q\wedge \tilde{\ }r)]\] \[=p\vee [\tilde{\ }(\tilde{\ }q)\vee \tilde{\ }(\tilde{\ }r)]=p\vee (q\vee r)\]
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