A) \[(P\cap Q)\cap (P\cap R)\]
B) \[((P\cap Q)-R)\cup ((P\cap R)-Q)\]
C) \[((P\cup Q)-R)\cap ((P\cap R)-Q)\]
D) \[((P\cap Q)\cup R)\cap ((P\cup Q)-R)\]
Correct Answer: B
Solution :
[b]In the given Venn diagram, shaded area between sets P and Q is \[(P\cap Q)-R\] and shaded area between P and R is \[(P\cap R)-Q\]. So both the shaded area is union of these two area and is represented by \[((P\cap Q)-R)\cup ((P\cap R)-Q).\]
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