If the sum of binomial coefficients in the expansion of (x+y)^n is 256, then the greatest binomial coefficient occurs in which one of the following terms?

NDA 2025 Mathematics question

If the sum of binomial coefficients in the expansion of is 256, then the greatest binomial coefficient occurs in which one of the following terms?

Answer: (C)

The sum of the binomial coefficients is , so . For even , the greatest binomial coefficient

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Question ID VK-030032