If the electrons in an atom can occupy any of four different energy levels, how many lines might appear in that atom's spectrum? What if the atom has five different energy levels?

If I'm not mistaken with 4 levels you get energy drops from

4 to 1
4 to 2
4 to 3
3 to 2
3 to 1
2 to 1

So six possible different energy changes?

With 5 same pattern

5 to 1
5 to 2
5 to 3
5 to 4
Plus the ones above so 10?