The sum of coefficients in the expansion of $(x + 2y + 3z)^8$ is

If $n$ is a positive integer,then the coefficient of $x^6$ in the expansion of $(1-2x+3x^2-4x^3+\ldots)^{-n}$ is

Which is larger: $(1.01)^{1000000}$ or $10,000$?

If the number of terms in the expansion of $(x - 2y + 3z)^n$ is $45$,then $n=$

If the coefficients of $x$ and $x^2$ in the expansion of $(1+x)^p(1-x)^q$ are $4$ and $-5$ respectively,then $2p+3q$ is equal to

If $|x|$ is so small that all terms containing $x^2$ and higher powers of $x$ can be neglected,then the approximate value of $\frac{(3-5x)^{1/2}}{(5-3x)^2}$,when $x=\frac{1}{\sqrt{363}}$,is