A) \[s\vee \left( r\vee \tilde{\ }s \right)\]
B) \[s\wedge r\]
C) \[s\wedge \tilde{\ }r\]
D) \[s\wedge \left( r\wedge \tilde{\ }s \right)\]
Correct Answer: B
Solution :
\[\tilde{\ }\left[ \tilde{\ }s\vee \left( \tilde{\ }r\wedge s \right) \right]\] \[=s\wedge \tilde{\ }\left( \tilde{\ }r\wedge s \right)\] \[=s\wedge \left( r\vee \tilde{\ }s \right)\] \[=\left( s\wedge r \right)\vee \left( s\vee \tilde{\ }s \right)\] \[=\left( s\wedge r \right)\vee \phi \] \[=\left( s\wedge r \right)\]
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