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      Question

      From 6 men and 5 women, a committee of 4 is formed. In

      how many ways can it be formed with at least 2 women?
      A 215 Correct Answer Incorrect Answer
      B 115 Correct Answer Incorrect Answer
      C 265 Correct Answer Incorrect Answer
      D 220 Correct Answer Incorrect Answer

      Solution

      ATQ, 2W2M: C(5,2)ร—C(6,2) = 10ร—15 = 150 3W1M: C(5,3)ร—C(6,1) = 10ร—6 = 60 4W0M: C(5,4)ร—C(6,0) = 5ร—1 = 5 Total = 150+60+5 = 215

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