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      Question

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

      ways can 5 boys and 3 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 = 12 C 5 Γ— 7 C 3
      = (12! / (5! Γ— 7!)) Γ— (7! / (3! Γ— 4!))
      = 792 Γ— 35 = 27,720

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