JEE Main & Advanced Sample Paper JEE Main Sample Paper-19

  • question_answer \[^{14}{{C}_{7}}+\sum\limits_{i=1}^{3}{^{17-i}{{C}_{6}}=}\]

    A) \[^{16}{{C}_{7}}\]                                           

    B) \[^{17}{{C}_{7}}\]

    C) \[^{17}{{C}_{8}}\]                                           

    D) \[^{16}{{C}_{8}}\]

    Correct Answer: B

    Solution :

    \[^{14}{{C}_{7}}+\sum\limits_{i=1}^{3}{^{17-i}{{C}_{6}}}{{=}^{14}}{{C}_{7}}{{+}^{14}}{{C}_{6}}{{+}^{15}}{{C}_{6}}{{+}^{16}}{{C}_{6}}\]       \[{{=}^{15}}{{C}_{7}}{{+}^{15}}{{C}_{6}}{{+}^{16}}{{C}_{6}}{{=}^{16}}{{C}_{7}}{{+}^{16}}{{C}_{6}}{{=}^{17}}{{C}_{7}}\]

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