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JEE Main & Advanced Mathematics Sets Question Bank Relations

  • question_answer
    Let R be an equivalence relation on a finite set A having n elements. Then the number of ordered pairs in R is

    A) Less than n

    B) Greater than or equal to n

    C) Less than or equal to n

    D) None of these

    Correct Answer: B

    Solution :

    Since R is an equivalence relation on set A, therefore (a, a) Î R for all \[a\in A\]. Hence, R has at least n ordered pairs.


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