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JEE Main 2003 Mathematics question

MathematicsBinomial TheoremJEE Main 2003

If denotes the number of combination of things taken at a time, then the expression equals

Answer: (3)

Solution

Group as ({}^nC_{r+1} + {}^nC_r) + ({}^nC_r + {}^nC_{r-1}) = {}^{n+1}C_{r+1} + {}^{n+1}C_r (Pascal's rule), and

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Question ID VK-038220