Answer
$6930$ different ways.
Work Step by Step
Total: $4+5+2=11$ trees.
It is a Permutations of 11 trees, of which four of a kind, five of a second kind, and two of a third kind:
$\frac{11!}{4!\times5!\times2!}=\frac{11\times10\times9\times8\times7\times6\times5\times4\times3\times2\times1}{24\times120\times2}=\frac{39,916,800}{5760}=6930$
