> My solution would be to keep the education free, but train only the amount of people your country needs trained(this applies to higher, university level education) and not too much over that.

Even if you could come up with a realistic number, it puts a stop on investments. If a company wants to hire someone but can't because of state enforced limits, something is wrong. One of a government's mayor concerns should be providing employment.

> Thus, you can pick the ones who are most capable of working in that field for training.

There are people who are actually better at doing the job they want to do than others, but who suck at being a student. Sure, you can do tests to determine who get's in. But you run the risk of only getting the good students, who are extremely good at theory, but suck at the practical, because they would be good at doing those tests.

For example, I met a first year dentist student once who had scores of 95% on the theoretical courses, and like 20% on the actual physical work. Okay, she would get better at it with practice, and pass (barely), but I find it something of a scary thought. She'd know what to do exceptionally well, but she'd suck at actually doing it.

> This way you wouldn't waste smart minds and wouldn't have overtly large amount of people with degrees running around.

If there's a max limit of 100, and I happen to be the 101st, why am I denied my chance for the career I'm dreaming of, while the guy who registered before me does get it? Just because he happened to be earlier than me? Maybe he's more qualified, maybe I am. You'll never know, cause I don't get the chance to prove it. Theoretically, you could get a hundred crappy guys who happened to register faster than the rest (maybe they made sure they were faster just because they know they suck :P), while you deny the guys really deserving a chance.

> Also, you'd be able to improve the quality of education when there are less people to educate.

What happens to the people you deny? They don't vanish. They still need something else to do. Likely something they don't like doing, and they may take away other people chances too, creating a cascade of drop-outs who should have gotten their chance, but didn't.

I think in the end, this would be a social disaster.