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      Question

      In an examination, a candidate is required to pass all

      six different subjects. The number of ways he can fail is:
      A 60 Correct Answer Incorrect Answer
      B 61 Correct Answer Incorrect Answer
      C 73 Correct Answer Incorrect Answer
      D 63 Correct Answer Incorrect Answer

      Solution

      The candidate will fail if he fails either in 1 or 2 or 3 or 4 or 5 or 6 subjects, therefore, Required number of ways 6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6 = 63

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