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      Question

      In a group of 9 boys and 5 girls, 5 students have to be

      selected. In how many ways it can be done so that only 2 boys are included.
      A 360 Correct Answer Incorrect Answer
      B 340 Correct Answer Incorrect Answer
      C 350 Correct Answer Incorrect Answer
      D 420 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      => 9C2 × 5C3 = [9!/(9 -2)! 2!] × [5!/(5 -3)! 3!] => [9!/7! 2!] × [5!/2! 3!] => 360 ways

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