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JEE Main & Advanced Mathematics Sets Question Bank Self Evaluation Test - Sets

  • question_answer
    Let S be a set of all distinct numbers of the form \[\frac{P}{Q}\], where \[p,q\in \{1,2,3,4,5,6\}.\] What is the cardinality of the set S?

    A) 21

    B) 23

    C) 32

    D) 36

    Correct Answer: D

    Solution :

    [d]No. of elements given = 6 No. of elements taken at a time \[=2\] i.e., (p & q) \[\Rightarrow \] Cardinality of the set \[(s)={{6}^{2}}=36.\] (because numbers are repeated).


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