The values of r for which Cr 20 C0 20+Cr-1 20C1 20+Cr-2 20Cr 20+…+C0 20Cr 20 is maximum, is ____

Given Sum=cofficient of xr in the Expansion of (1+x)20 (1+x)20which is equal to Cr 40 it is maximum when r=20

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The values of r for which ${}^{20}C_{r} {}^{20}C_{0} + {}^{20}C_{r - 1} {}^{20}C_{1} + {}^{20}C_{r - 2} {}^{20}C_{r} + \dots + {}^{20}C_{0} {}^{20}C_{r}$ is maximum, is $____$

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answer is 20.

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Given Sum=cofficient of $x^{r}$ in the Expansion of ${(1 + x)}^{20} {(1 + x)}^{20}$

which is equal to ${}^{40}{C_{r}}$ it is maximum when r=20

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