JEE Main & Advanced Mathematics Sets Question Bank Mock Test - Sets

  • question_answer
    If A and B have n elements in common, then the number of elements common to A x B and B x  is

    A) \[n\]                 

    B) \[2n\]

    C) \[{{n}^{2}}\]              

    D) 0

    Correct Answer: C

    Solution :

    [c] if both A and B have n elements in common, then a common ordered pair in A\[\times \]B and B\[\times \]A can have the first element common in n ways and similarly the second element also in n ways. Thus, \[n.n={{n}^{2}}\]elements will be in common.


You need to login to perform this action.
You will be redirected in 3 sec spinner