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Q)

Which of the following are tautologies and which are contradictions?

$(1)\; (p \wedge q)\rightarrow (p \vee q)$

$(2) \;(p\wedge(\sim p))\wedge((\sim q)\wedge p)$

$(3) \; q\vee (p\vee(\sim q)) $

$\begin{array}{1 1} (A)\text { All are contradictions.}\\ (B)\text {All are tautologies.} \\ (C) \text{Only Statement (2) is a contradiction, (1) and (3) are tautologies.} \\(D)\text {Only Statement (1) is a tautology, (2) and (3) are contradictions.}\end{array}$

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