Arandor is almost right. There can be any number of skills. But the slots are limited. You can put a skill of any level into one slot. But there is also the number of charges. There are more charges for level II than for level IV, so if you fill all the slots with level IV, for example, you won't be able to use each skill in one battle due to the limited number of charges. Plus, there is also a recharge.
Added 2 minutes later
As I understand it, this is called a free action, and the number of such actions is limited to 6. The other question is that six should be enough, if you then turn them into skills.
Ah, well, maybe you don't need to spend a "free action" on inventing a new skill outside of battle, Nebok?
Небо – угроз не слышит
Небо – ведёт особый счёт
Небо – тебя найдёт