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      Question

      A group of 5 students is to be selected from 6 boys and

      5 girls. Find the number of ways to form team such that the team consists of at most 2 boys.
      A 190 Correct Answer Incorrect Answer
      B 181 Correct Answer Incorrect Answer
      C 174 Correct Answer Incorrect Answer
      D 196 Correct Answer Incorrect Answer

      Solution

      Required number of ways = 6C2 × 5C3 + 6C1 × 5C4 + 5C5
      = 15 × 10 + 6 × 5 + 1
      = 150 + 30 + 1
      = 181

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