JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7, then the number of relations from A to B is [NDA 2003]

    A) \[{{2}^{9}}\]

    B) \[{{9}^{2}}\]

    C) \[{{3}^{2}}\]

    D) \[{{2}^{9-1}}\]

    Correct Answer: A

    Solution :

    \[49{{[}^{n}}{{C}_{2}}{{+}^{n}}{{C}_{3}}(7)+......{{+}^{n}}{{C}_{n}}{{7}^{n-2}}]\]; \[B=\{2,\,3,\,5\}\] \ A ´ B contains \[3\times 3=9\] elements. Hence, number of relations from A to B \[={{2}^{9}}\].


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