In the expansion of $(1+x)^{50}$, the sum of coefficients of odd powers of $x$…

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In the expansion of $(1+x)^{50}$, the sum of coefficients of odd powers of $x$ is:

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Sum of odd coefficients $=\dfrac{(1+1)^{50}-(1-1)^{50}}{2} =\dfrac{2^{50}-0}{2}=2^{49}$.

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