For each of the following pairs of functions, indicate whether the first function of each of the following

pairs has a lower, same, or higher order of growth $($to within a constant multiple$)$ than the second

function.

a$.n(n-1)$ and $1000n$

b$.100n$ and $n^2$

c$.lo{g}_{3}n$ and $lnn$

d$.2(n-1)!$ and $n!$