JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Multinomial Theorem, Number of Divisors, Miscellaneous problems

  • question_answer
    If \[^{n}{{P}_{r}}\]= 720.\[^{n}{{C}_{r}},\] then r is equal to [Kerala (Engg.) 2001]

    A) 6

    B) 5

    C) 4

    D) 7

    Correct Answer: A

    Solution :

    \[^{n}{{P}_{r}}\,=720.{{\,}^{n}}{{C}_{r}}\] Þ \[^{n}{{P}_{r}}\,\div {{\,}^{n}}{{C}_{r}}\,=720\] Þ \[\,r\,!=720=6\,!\] Þ r = 6.


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