From a group of $10$ men and $5$ women, four member committees are to be formed each of which must contain at least one woman. Then the probability for these committees to have more women than men, is

  • [JEE MAIN 2017]
  • A

    $\frac{21}{220}$

  • B

    $\frac{3}{11}$

  • C

    $\frac{1}{11}$

  • D

    $\frac{2}{23}$

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