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JEE Main & Advanced JEE Main Solved Paper-2017

  • question_answer
    If two different numbers are taken from the set {0, 1, 2, 3, ......., 10), then the probability that their sum as well as absolute difference are both multiple of 4, is :-     JEE Main Solved Paper-2017

    A)  \[\frac{7}{55}\]                               

    B)  \[\frac{6}{55}\]

    C)  \[\frac{12}{55}\]                                             

    D)  \[\frac{14}{45}\]

    Correct Answer: B

    Solution :

     Let \[A\equiv \{0,1,2,3,4......,10\}\] \[n(s)={{\,}^{11}}{{C}_{2}}\] (where 'S' denotes sample space) Let E be the given event \[\therefore \]\[E\equiv \{(0,4)(0,8),(2,6),(2,10),(4,8),(6,10)\}\] \[n(E)=6\]                 \[\therefore \]  \[P(E)=\frac{6}{55}\]


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