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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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The correct answer is:
$252$
$252$
Given, sum of the coefficient $=1024$
$\begin{array}{ll}\text { i.e. } & 2^n=1024=2^{10} \\ \Rightarrow & n=10\end{array}$
Since, $n$ is even, so greatest coefficient
$={ }^n C_{n / 2}={ }^{10} C_5=252$
$\begin{array}{ll}\text { i.e. } & 2^n=1024=2^{10} \\ \Rightarrow & n=10\end{array}$
Since, $n$ is even, so greatest coefficient
$={ }^n C_{n / 2}={ }^{10} C_5=252$
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