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(B) The sum of the coefficients in the expansion of $(x + y)^n$ is obtained by putting $x = 1$ and $y = 1$.Thus,$(1 + 1)^n = 2^n = 1024$.Since $2^{10}

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$252$

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(B) The sum of the coefficients in the expansion of $(x + y)^n$ is obtained by putting $x = 1$ and $y = 1$.Thus,$(1 + 1)^n = 2^n = 1024$.Since $2^{10} = 1024$,we have $n = 10$.The greatest coefficient in the expansion of $(x + y)^n$ is the middle term coefficient,which is given by ${}^{n}C_{n/2}$.For $n = 10$,the greatest coefficient is ${}^{10}C_{10/2} = {}^{10}C_5$.Calculating the value: ${}^{10}C_5 = \frac{10 	imes 9 	imes 8 	imes 7 	imes 6}{5 	imes 4 	imes 3 	imes 2 	imes 1} = 252$.

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

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