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If A, B and C are sets and * stands for complementation then ${(A \cap B) \cup C} * =$

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$A * \cap (B \cup C) *$

$A * \cap (B * \cup C *)$

$(A * \cap B *) \cup (A * \cap C *)$

$(A * \cap C *) \cup (B * \cap C *)$

answer is C.

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Detailed Solution

${(A \cap B) \cup C} * = (A \cap B) * \cap C * = (A * \cup B *) \cap C * = (A * \cap C *) \cup (B * \cap C *)$

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