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      Question

      A committee of 4 members is to be formed from 5 men and

      4 women such that at least one woman is included. In how many ways can this be done?
      A 129 Correct Answer Incorrect Answer
      B 117 Correct Answer Incorrect Answer
      C 100 Correct Answer Incorrect Answer
      D 121 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total people = 9 Total ways to choose any 4 = C(9,4) = 126 Ways with no woman (all 4 are men): Men = 5 β†’ C(5,4) = 5 Required ways = 126 – 5 = 121.

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