A) \[\left( R\text{ }\times \text{ }P \right)\text{ }\cap \text{ }\left( R\text{ }\times \text{ }Q \right)\]
B) \[(R\times Q)\cap (R\times P)\]
C) \[(R\times P)\cup (R\times Q)\]
D) None of these
Correct Answer: B
Solution :
\[R\times {{({{P}^{c}}\cup {{Q}^{c}})}^{c}}=R\times [{{({{P}^{c}})}^{c}}\cap {{({{Q}^{c}})}^{c}}]\] = \[R\times (P\cap Q)=(R\times P)\cap (R\times Q)\] = \[(R\times Q)\cap (R\times P)\].
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