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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

A question paper contains 10 questions divided in two equal groups. A candidate has to attempt 6 questions selecting not more than 4 questions from one group. The probability that the candidate will answer by selecting an equal number of questions from the two groups is

Answer: (A)

Solution

Each group has 5 questions. Allowed splits (group I, group II): .

n(S) = {}^·{}^ + {}^·{}^5C

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Question ID VK-110467