CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2002

  • question_answer
    If\[^{43}{{C}_{r-6}}{{=}^{43}}{{C}_{3r+1}},\]then the value of r is:

    A)  12                                         

    B)                         8

    C)                         6                                            

    D)                         10

    E)                         14

    Correct Answer: A

    Solution :

    \[\because \] \[^{43}{{C}_{r-1}}{{+}^{n}}{{C}_{r}}{{=}^{n+1}}{{C}_{r}}\]  \[\therefore \] \[r-6+3r+1=43\] \[\Rightarrow \]               \[4r=48\] \[\Rightarrow \]               \[r=12\]


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