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JEE Advanced Mathematics question

MathematicsBinomial TheoremJEE Advanced

If (1 + x)^n = {}^nC_0 + {}^nC_1x + {}^nC_2x^2 + \dots + {}^nC_nx^n then the value of for all is

Answer: 6560

Solution

For each fixed (), runs over , so

S = {}^{}^ =

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Question ID VK-110367