Put the functions below in order so that each function is big$-$O of the next function on the $1$ one point deducted for wrong one$)$

$f_1(n)=(1\mathrm{.}5{)}^n,f_2(n)=8n^3+17n^2+111,f_3(n)=(logn{)}^2,f_4(n)=2^n,f_5(n)=log(logn)$

$f_6(n)=n^2(logn{)}^3,f_7(n)=2^n(n^2+1),f_8(n)=n^3+n(logn{)}^2,f_9(n)=10000,f_{10}(n)=n!$