It’s very common. In fact, this past April there were a bunch of posts from people complaining that they didn’t get into any of their top choices and had to settle for lowly schools in the top fifty. I also had a couple of pm’s from students who got into none, or only one college and didn’t know why. I would completely ignore the advice in post 1. You do not increase your chances of getting into top schools by applying to more of them. It simply doesn’t work that way.
Here are two cautionary tales that you might find enlightening:
http://talk.collegeconfidential.com/college-admissions/1891200-asian-rejected-from-everywhere-postmortem-p1.html