Mathematical Reasoning
normal

$\left( {p \wedge  \sim q \wedge  \sim r} \right) \vee \left( { \sim p \wedge q \wedge  \sim r} \right) \vee \left( { \sim p \wedge  \sim q \wedge r} \right)$  = 

A

$ \sim \left( {\left( {p \wedge q} \right) \vee \left( {q \wedge r} \right) \vee \left( {r \wedge p} \right)} \right)$

B

$p \vee q \vee r$

C

$  \left( {\left( {p \wedge q} \right) \vee \left( {q \wedge r} \right) \vee \left( {r \wedge p} \right)\left( {p \vee q \vee r} \right)} \right)$

D

$\left( { \sim \left( {(p \wedge q} \right) \vee \left( {q \wedge r} \right) \vee \left( {r \wedge p)} \right) \wedge \left( {p \vee q \vee r} \right)} \right)$

Solution

Obviously option $(4)$ is correct

Standard 11
Mathematics

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