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 Let p,q,r be three mathematical statements. The statement (~pq)r is equivalent to

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By Expert Faculty of Sri Chaitanya
a
(~p∧q)∧(q∨r)
b
(~p∨r)∧(~q∨r)
c
(~p∨r)∨(q∨r)
d
a tautology
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detailed solution

Correct option is B

Consider (~p→q)→r    we know that p→q = ~p∨q =~~p∨q →r=p∨q→r   =∼(p∨q)∨r =(~p∧~q)∨r=(~p∨r)∧(~q∨r)Therefore, the correct answer is (2).


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