If A is the coefficient of the middle term in the expansion of $(1+\mathrm{x})^{2 \mathrm{n}}$ and B

Question

If A is the coefficient of the middle term in the expansion of $(1+\mathrm{x})^{2 \mathrm{n}}$ and B is the sum of the coefficients of the two middle terms in the expansion of $(1+x)^{2 n-1}$, then

Professor PC Thomas Classes · Answer

$ \begin{aligned} & A={ }^{2 n} C_n, B={ }^{2 n-1} C_{n-1}+{ }^{2 n-1} C_n \ & 	herefore A=B \end{aligned} $