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Study Stuff for MCA Examinations - NIMCET
Study Stuff for MCA Examinations - NIMCET
Previous Year Question (PYQs)
In an examination of nine papers, a candidate has to pass in more papers than the number of papers in which he fails in order to be successful. The number of ways in which he can be unsuccessful is
Solution
Candidate Passing Criteria
Total Papers: 9
Condition for Success: Passes > Fails
So, candidate is unsuccessful when: Passes ≤ 4
Calculate ways:
\[ \text{Ways} = \sum_{x=0}^{4} \binom{9}{x} = \binom{9}{0} + \binom{9}{1} + \binom{9}{2} + \binom{9}{3} + \binom{9}{4} \]\[= 1 + 9 + 36 + 84 + 126 = \boxed{256}\]
✅ Final Answer: 256 ways
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