Order of elements in $S_4$

Order of elements in $S_4$

Let $r(n) = \left| \left\{ \sigma \in S_4 : \mbox{ord} ( \sigma) = n
\right\} \right|$. Is it true that:
$r(2)>r(4)$
$r(4) > r(3)$
$r(1)+r(3) = r(2)$
$r(5) = r(6)$
I can write all elements of $S_4$ but I suppose that is better and faster
way to solve it.