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      Question

      In an examination of 5 subjects, it is mandatory for a

      student to pass in each subject. In how many ways can she fail? type-ssc
      A 41 Correct Answer Incorrect Answer
      B 31 Correct Answer Incorrect Answer
      C 63 Correct Answer Incorrect Answer
      D 45 Correct Answer Incorrect Answer

      Solution

      Β A student can fail only when he is failing in at least one subject. Therefore, will fail in the following ways. Failing in 1 subject or 2 subjects or 3 subjects or 4 subjects or 5 subjects. Total number of ways = 5C1 +5C2 +5C3 +5C4+5C5 =25-1 =32-1=31

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