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      Question

      A group consists of 11 boys and 9 girls. In how many

      ways can 7 boys and 5 girls be selected from the group?
      A 41580 Correct Answer Incorrect Answer
      B 41780 Correct Answer Incorrect Answer
      C 41880 Correct Answer Incorrect Answer
      D 41980 Correct Answer Incorrect Answer

      Solution

      Required number of ways = 11 C 7 ร— 9 C 5
      = (11! / (7! ร— 4!)) ร— (9! / (5! ร— 4!))
      = 330 ร— 126 = 41,580

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