I took the shotgun approach to applying for internships the summer before my graduating semester. I applied mostly through my college's career center, but as well as applying online at the website of the companies I wanted to work for. Well in the end, I didn't get a job at any of the positions I applied for. About a month or so left of class, an email from the school came through about a position with a start up off campus. I responded and got the job which ended up being valuable experience for the 7 months I worked for him.
The story had gut wrenching twist for me about 3-4 months later. As I was revising my resume for full time positions, I learned that I had typed the wrong phone number on my resume. I put the wrong damn phone number on my resume
To this day I will blame that for not getting an intership with the companies I so badly wanted to work for that summer.
Anyways good luck to you. And I got my full time job through my school's career center as an fyi