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Q. The value of $\left(A\cup B \cup C\right) \cap \left(A \cap B^{c} \cap C^{c}\right)^{c} \cap C^{c} $ , is

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Solution:

From Fig. (i), (ii) and (iii), we get
$\left(A\cup B \cup C\right) \cap \left(A \cap B^{c} \cap C^{c}\right)^{c} \cap C^{c} = \left(B \cap C^{c}\right)$

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