11yo dd just dropped into conversation 'I think I want to go to oxford or Cambridge, but I know it's hard to get in and there are other good universities so if I don't get in I can go to another one' (she sounded much more mature than me!) saying for a long time she wants to be a doctor and she really excels at science. I know things can change but I want to be prepared so is it more expensive to Oxbridge and how hard is it really to get in.