In an examination a candidate is required to pass at least 4 different subjects out of 6 then the number of ways in which he can fail is
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2/6 that is 1/3 times he can fail
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The number of ways in which a candidate can fail an examination is equal to 42.
For the candidate to fail the exam , the candidate may either fail in three , four , five or six subjects .
Number of ways to fail the exam = fail in 3 exams + fail in 4 exams + fail in 5 exams + fail in 6 exams
= 6C3 + 6C4 + 6C5 + 6C6
= 20 + 15 + 6 +1
= 42
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