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Among the statements : ( S 1 ) (( p  q )   r )   p   r ) ( S 2 ) (( p  q )  r )  ( ( p  r )  ( q  r ) )

1. only ( S 1 ) is a tautology
2. only ( S 2 ) is a tautology
3. neither ( S 1 ) nor ( S 2 ) is a tautology
4. both ( S 1 ) and ( S 2 ) are tautologies

Correct answer: neither ( S 1 ) nor ( S 2 ) is a tautology

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