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      Question

      A club has 6 men and 5 women. How many committees of 5

      have at least 2 women?
      A 400 Correct Answer Incorrect Answer
      B 381 Correct Answer Incorrect Answer
      C 335 Correct Answer Incorrect Answer
      D 365 Correct Answer Incorrect Answer

      Solution

      ATQ,

      2 women: C5,2 × C6,3 = 200 3 women: C5,3 × C6,2 = 150 4 women: C5,4 × C6,1 = 30 5 women: 1 Total = 381

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