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?
A.Third
B.Fourth
C.Fifth✓ Correct
D.Ninth
Explanation
Sum of binomial coefficients = 2^n = 256, so n = 8. For even n, greatest binomial coefficient is C(n, n/2) = C(8, 4), which is the (n/2 + 1)th = 5th term.
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