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JEE Main & Advanced Mathematics Sets Question Bank Set theory

  • question_answer
    If \[A=\{a,\,b\},\,B=\{c,\,d\},\,C=\{d,\,e\},\,\] then\[\{(a,\,c),\,(a,\,d),\,(a,\,e),\,(b,\,c),\,(b,\,d),\,(b,\,e)\}\] is equal to [AMU 1999; Him. CET 2002]

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

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

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

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

    Correct Answer: C

    Solution :

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


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