Which of the following is a tautology ?...

Which of the following is a tautology ?

`( p rarr q ) ^^ p rarr q `

`(p rarr q ) vee p rarr q `

`(p rarr q ) vee q rarr p `

`( p rarr q ) ^^ ( ~ q ) rarr p `

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Which of the following is tautology

`(p wedge ( p rarr q)) rarr q`

`(q rarr p wedge (p rarr q)`

`p vee ( p wedge q)`

`p wedge ( p vee q)`

`~(p vv ~q) rarr (p vv q)`

`(~p vv q) rarr (p vv q)`

`~(p ^^ ~q) rarr (p vv q)`

`~(p vv ~q) rarr (p ^^ q)`

`pvv(q^^r)hArr(pvvq)vv(pvvr)`

`pvv(q^^r)`

`(pvvq)^^(pvvr)`

`pvv(q^^r)hArr(p^^q)^^(p^^r)`