JEE Main & Advanced AIEEE Solved Paper-2012

  • question_answer
    Let X = {1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can formed such that \[Y\subseteq X,Z\subseteq X\] and \[Y\cap Z\] is empty, is :   AIEEE  Solved  Paper-2012

    A) \[{{5}^{2}}\]                                          

    B) \[{{3}^{5}}\]

    C) \[{{2}^{5}}\]                                          

    D) \[{{5}^{3}}\]

    Correct Answer: B

    Solution :

                 Every element has 3 options. Either set Y or set Z or none so number of ordered pairs \[={{3}^{5}}\]


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