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      Question

      A committee of 5 members is to be selected from 4 girls and

      6 boys. Find the number of ways to form team such that the team consists of at most 2 girls.
      A 180 Correct Answer Incorrect Answer
      B 186 Correct Answer Incorrect Answer
      C 210 Correct Answer Incorrect Answer
      D 176 Correct Answer Incorrect Answer
      E 192 Correct Answer Incorrect Answer

      Solution

      Required number of ways = 4C2 ├Ч 6C3 + 4C1 ├Ч 6C4 + 6C5
      = 6 ├Ч 20 + 4 ├Ч 15 + 6
      = 120 + 60 + 6 = 186

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