<p>You absolutely should do that. My daughter applied to six programs last summer, and was accepted to only two of them. The two she got into happened to have application fees (they were programs that cost money to do; the rest that she applied to were free or were internships with small stipend); she ended up losing part of one of them, but that was okay (we figured that might happen). If she had not applied to a couple of “paid” programs, she would have been hunting for something else to do with her summer around our hometown.</p>