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      Question

      From a group of 7 men and 4 women, in how many ways can

      a committee of 4 be formed such that it includes at least one woman?
      A 180 Correct Answer Incorrect Answer
      B 195 Correct Answer Incorrect Answer
      C 295 Correct Answer Incorrect Answer
      D 265 Correct Answer Incorrect Answer

      Solution

      The group consists of 7 men and 4 women, totaling 7+4=11 people. We need to form a committee of 4 people such that it includes at least one woman. The total number of ways to form a committee of 4 from 11 people without any restrictions is given by the combination formula:

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