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Q.

If the sum of the coefficients in the expansions of ${(x + y)}^{n}$ is 1024, then the value of the greatest coefficient in the expansion is

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a

252

b

120

c

356

d

210

answer is B.

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Detailed Solution

$2^{n} = 1024 \Rightarrow n = 10 (even) ∴ G . B . Coeff = {}^{n}{C_{\frac{n}{2}}} = {}^{10}{C_{5}} = 252$

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