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      Question

      In how many ways will a team of 5 people be selected

      among 12 people such that one specific person will always be selected, and one specific person will always remain?
      A 180 types Correct Answer Incorrect Answer
      B 252 types Correct Answer Incorrect Answer
      C 210 types Correct Answer Incorrect Answer
      D 330 types Correct Answer Incorrect Answer

      Solution

       If a specific person is always selected, then there will be no total selection left as per the question. If the person is never selected, then he will be removed from all numbers. Total persons = 12-2= 10 People to be selected = 10C4 =10 ! / (10-4)! ×4! =10 ! /6! ×4! =10×9×8×7×6!)/4! ×6! =10×9×8×7)/4×3×2 =10×3×7=210.

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