Most math and science students are aware that we aren't headed for academic research careers in those fields. But that's true for computer science students as well.
I have a physics degree, and while I'm not employed as a programmer per se, programming is my main problem solving tool. It wouldn't be a quantum leap for me to move into a programming job if I wanted to do it.
On the other hand, I also have two friends whose college degrees were in philosophy and music performance, and both became programmers.
