Question bank/JEE Main/Mathematics

If the coefficient of $x^{12}$ in
$\left( (1 + 2x)^{10} + (1 + 2x)^{11} + \ldots + (1 + 2x)^{20} \right)$ is $\ ^{n}C_{r} \cdot 2^{r}$
then value of [IMAGE] can be (2r > n)0

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$(1 + 2x)^{10} + (1 + 2x)^{11} + \ldots + (1 + 2x)^{20}$

Source: Grass-G / M-08 Mathematics Paper 23 October.docx