Select the correct order by growth rate $($in Big$-$Oh notation$)$ for the following options:

Question $1$Select one or more:

a$.$

N $<$ N log N

b$.$

log N $<$ log log N

c$.$

N$2\mathrm{.}5<$ N$2$ log $($N$2)$

d$.$

N log log log N $<$ N log N

e$.$

N$1/2<$ log N

f$.$

N log $($N$3)$ and N log $($N$2)$ grow at the same rate.