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Question: If A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, C = {3, 4, 6}, then \(( A \cup B ) \cap C\) is....

If A = {1, 2, 3, 4, 5}, B = {2, 4, 6}, C = {3, 4, 6}, then (A∪B)∩C( A \cup B ) \cap C is.

A

{3, 4, 6}

B

{1, 2, 3}

C

{1, 4, 3}

D

None of these

Answer

{3, 4, 6}

Explanation

Solution

A∪B={1,2,3,4,5,6}A \cup B = \{ 1,2,3,4,5,6 \}

∴ (A∪B)∩C={3,4,6}( A \cup B ) \cap C = \{ 3,4,6 \} .