JEE Main & Advanced Mathematics Permutations and Combinations Question Bank Definition of combinations, Conditional combinations, Division into groups, Derangements

  • question_answer
    \[^{n}{{C}_{r}}{{\div }^{n}}{{C}_{r-1}}=\] [MP PET 1984]

    A) \[\frac{n-r}{r}\]

    B) \[\frac{n+r-1}{r}\]

    C) \[\frac{n-r+1}{r}\]

    D) \[\frac{n-r-1}{r}\]

    Correct Answer: C

    Solution :

      On simplifying you will get \[\frac{n-r+1}{r}\].


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