If you want to make a game like Dragon Age, at the scope and scale of AAA, you need to be a large team.
If you want to work on a game like Dragon Age, the advice I give students is to find a relevant area of specialty and study that - if you want to be a programmer, get a CS or Comp Eng degree. If you want to be an animator, study animation. If you want to be a designer - well, my team has a lot of designers with CS degrees.
The philosophy behind this advice is that if you get a broad education (aka "university degree"), you'll have a lot more flexibility and career opportunities if for whatever reason you can't get into the industry or change your mind later. As a programmer, you can pay your bills with (for example) PHP while you practice making games on the side and keep applying.
On top of a solid education (which recruiters will often straight up screen for - it's rare we hire people without either shipped titles or a degree), something you made (a mod, a prototype, a NWN module, a Twine game, a graphics demo, your art portfolio, etc) is one of the best things to bring to an application - it shows that you've taken raw ideas and cooked them down to the point where you can put it in front of other people and have them evaluate it.