Coefficient of the middle term in the expansion of the binomial \( ...

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Coefficient of the middle term in the expansion of the binomial \( (1+x)^{40} \) is equal to
\( \mathrm{P} \)
(A) \( \frac{2^{20} \cdot(1 \cdot 3 \cdot 5 \ldots \ldots 39)}{(20) !} \)
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(B) the sum of the coefficients of the two middle terms in \( (1+x)^{39} \).
(C) \( \frac{20 \cdot 21 \cdot 22 \ldots \ldots 40}{(20) !} \)
(D) \( \left({ }^{20} \mathrm{C}_{0}\right)^{2}+\left({ }^{20} \mathrm{C}_{1}\right)^{2}+\left({ }^{20} \mathrm{C}_{2}\right)^{2}+\ldots \ldots+\left({ }^{20} \mathrm{C}_{20}\right)^{2} \)
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