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      Question

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

      3 women. What is the probability that the committee will have exactly 2 women?
      A 4/5 Correct Answer Incorrect Answer
      B 3/7 Correct Answer Incorrect Answer
      C 5/7 Correct Answer Incorrect Answer
      D 2/9 Correct Answer Incorrect Answer

      Solution

      Total people = 5 + 3 = 8 Total ways to choose 4 = 8C4 = 70 For exactly 2 women: choose 2 women from 3 and 2 men from 5: Ways = 3C2 ร— 5C2 = 3 ร— 10 = 30 Probability = 30 / 70 = 3/7.

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