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

  • question_answer
    If \[^{n}{{P}_{r}}=840,{{\,}^{n}}{{C}_{r}}=35,\] then \[n\] is equal to [EAMCET 1986]

    A) 1

    B) 3

    C) 5

    D) 7

    Correct Answer: D

    Solution :

    \[\frac{^{n}{{P}_{r}}}{^{n}{{C}_{r}}}=24\Rightarrow r\ !=24\Rightarrow r=4\] \[\therefore \]\[^{n}{{C}_{4}}=35\Rightarrow n=7\].


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