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      Question

      In how many ways can a group of 2 boys and 2 girls be

      made out of a total of 6 boys and 4 girls?
      A 120 ways Correct Answer Incorrect Answer
      B 90 ways Correct Answer Incorrect Answer
      C 180 ways Correct Answer Incorrect Answer
      D 75 ways Correct Answer Incorrect Answer
      E 140 ways Correct Answer Incorrect Answer

      Solution

      Required number of ways = 6C2 × 4C2 = 6!/(4! ×2!) × 4!/(2! ×2!) = 15 × 6 = 90 ways

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