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

  • question_answer
    \[^{n}{{C}_{r}}{{+}^{n}}{{C}_{r-1}}\] is equal to [MP PET 1984; Kerala (Engg.) 2002]

    A) \[^{n+1}{{C}_{r}}\]

    B) \[^{n}{{C}_{r+1}}\]

    C) \[^{n+1}{{C}_{r+1}}\]

    D) \[^{n-1}{{C}_{r-1}}\]

    Correct Answer: A

    Solution :

    It is a fundamental property


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