government education?state education?or national education?

Depending on your country, you could use either of these. I like "state" myself. In the US, there is no "national" system.

Could you please expain more specifically? Thank you.

Sure. "Government" means any type of government at any level. This clearly works in the sentence. "National" specifically means a system that spans the country. The US does not have a national system; education is administered at the state and local level. Other countries do, so depending on where you are, this could be a good option. "State" can be another term for "government". "State sponsored" could be the exact same thing as "government sponsored". In the US, "states" are also political bodies, so this could also mean education done at the state level. I like "state" because I think it sounds better.

I really appreciate it! Could you do me a favor by answering another question? It is urgent, I just cannot wait.

I can try. What's the question?

chance and opportunity are synonym. But my teacher says usually we say make the best of every chance and make the most of every opportunity. Why is it so?
Can we say make the best of every opportunity? make the most of every chance?

Yes, you can say that.

Ok, thanks a lot.

"Local" educational system would have been the best, at least in the US.