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JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If A, B and C are any three sets, then \[A\text{ }\times \text{ }\left( B\text{ }\cup \text{ }C \right)\] is equal to [Pb. CET 2001]

    A) \[\left( A\text{ }\times \text{ }B \right)\text{ }\cup \text{ }\left( A\text{ }\times \text{ }C \right)\]

    B) \[\left( A\text{ }\cup \text{ }B \right)\text{ }\times \text{ }\left( A\text{ }\cup \text{ }C \right)\]

    C) \[\left( A\text{ }\times \text{ }B \right)\text{ }\cap \text{ }\left( A\text{ }\times \text{ }C \right)\]

    D) None of these

    Correct Answer: A

    Solution :

    It is distributive law.


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