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      Question

      A group consists of 7 boys and 12 girls. In how many

      ways can 3 boys and 5 girls be selected from the group?
      A 27720 Correct Answer Incorrect Answer
      B 27920 Correct Answer Incorrect Answer
      C 28020 Correct Answer Incorrect Answer
      D 28120 Correct Answer Incorrect Answer

      Solution

      Required number of ways = 7 C 3 ร— 12 C 5
      = (7! / (3! ร— 4!)) ร— (12! / (5! ร— 7!))
      = 35 ร— 792 = 27,720

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