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      Question

      A student is required to select 4 questions to attempt

      from a set of 10 questions. How many different ways can the student make this selection?
      A 270 Correct Answer Incorrect Answer
      B 180 Correct Answer Incorrect Answer
      C 210 Correct Answer Incorrect Answer
      D 360 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Required number of ways = 10C4 We know that nCr = n! ÷ [(n - r) ! X r!] = 10! ÷ [(10 - 4) ! X 4!] = 10! ÷ (6! X 4!) = 210

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