The sum of coefficients in the expansion of ${(x + 2y + 3z)^8}$ is
${3^8}$
${5^8}$
${6^8}$
None of these
Co-efficient of $\alpha ^t$ in the expansion of,
$(\alpha + p)^{m - 1} + (\alpha + p)^{m - 2} (\alpha + q) + (\alpha + p)^{m - 3} (\alpha + q)^2 + ...... (\alpha + q)^{m - 1}$
where $\alpha \ne - q$ and $p \ne q$ is :
$\sum\limits_{k = 0}^{10} {^{20}{C_k} = } $
Coefficient of $x^{64}$ in the expansion of $(x - 1)^2(x - 2)^3(x - 3)^4(x - 4)^5 .... (x - 10)^{11}$
The sum of the coefficients in the expansion of ${(1 + x - 3{x^2})^{2163}}$ will be