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Question

If S(p,q,r)=(~p)[~(qr)] is a compound statement, then S(~p,~q,~r) is


A

~S(p,q,r)

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B

S(p,q,r)

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C

p(qr)

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D

p(qr)

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E

S(p,q,~r)

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Solution

The correct option is D

p(qr)


Explanation for the correct option.

Given, S(p,q,r)=(~p)[~(qr)].

S(~p,~q,~r)=~~p[~~q~r]=p[~(~q)~(~r)]=p(qr)

Hence, option C is correct.


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