CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2001

  • question_answer
    If\[^{n}{{p}_{r}}={{720}^{n}}{{C}_{r}},\]then r is equal to:

    A)  6                                            

    B)  5

    C)  4                            

    D)         7

    E)  3

    Correct Answer: A

    Solution :

    \[^{n}{{P}_{r}}={{720}^{n}}{{C}_{r}}\] \[\Rightarrow \]               \[\frac{n!}{(n-r)!}=720.\frac{n!}{r!(n-r)!}\] \[\Rightarrow \]               \[r!=720=6!\] \[\Rightarrow \]               \[r=6\]


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