A) \[-S(p,q,r)\]
B) \[S(p,q,r)\]
C) \[p\vee (q\wedge r)\]
D) \[p\vee (q\vee r)\]
E) \[S(p,q,\tilde{\ }r)\]
Correct Answer: D
Solution :
\[\because \] \[S(p,q,r)=(\tilde{\ }p)\vee [\tilde{\ }(q\wedge r)]\] \[\therefore \] \[S(\tilde{\ }p,\tilde{\ }q,\tilde{\ }r)=(\tilde{\ }(\tilde{\ }p))\vee [\tilde{\ }(\tilde{\ }q\wedge \tilde{\ }r)]\] \[=(p)\vee [\tilde{\ }(\tilde{\ }(q\vee r))]\] \[(\because \tilde{\ }(a\vee b)=\tilde{\ }a\wedge \tilde{\ }b)\] \[=(p)\vee [q\vee r]\] \[=p\vee (q\vee r)\]
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