If the sum of binomial coefficients in the expansion of (x+y)^{n} is 256, then the <strong>GREATEST</strong> binomial coefficient occurs in which one of the following terms?

  1. A. Third
  2. B. Fourth
  3. C. Fifth
  4. D. Ninth

Correct Answer: C. Fifth

Explanation

The sum of binomial coefficients is 2^n = 256, which gives n = 8. For an even n, the greatest binomial coefficient is the middle term, which is the (\frac{n}{2} + 1)-th term. So, \frac{8}{2} + 1 = 5th term.

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