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Question

If P, Q and R are subsets of a set A, then R×(PcQc)c=

A
(R×P)(R×Q)
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B
(R×Q)(R×P)
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C
(R×P)(R×Q)
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D
None of these
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Solution

The correct options are
A (R×P)(R×Q)
B (R×Q)(R×P)
R×(PcQc)c=R×[(Pc)c(Qc)c]
=R×(PQ)=(R×P)(R×Q)=(R×Q)(R×P)

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