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

  • question_answer
    The value of \[^{15}{{C}_{3}}{{+}^{15}}{{C}_{13}}\] is [MP PET 1983]

    A) \[^{16}{{C}_{3}}\]

    B) \[^{30}{{C}_{16}}\]

    C) \[^{15}{{C}_{10}}\]

    D) \[^{15}{{C}_{15}}\]

    Correct Answer: A

    Solution :

    \[^{15}{{C}_{3}}{{+}^{15}}{{C}_{13}}{{=}^{15}}{{C}_{3}}{{+}^{15}}{{C}_{2}}{{=}^{16}}{{C}_{3}}\].


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