Do I need to take the recommended course in order to gain more ad opportunity?

Actually I have contacted UIUC engineering advisor a lot recently. And my current college advisor recommended me to contact the university directly for such info.
I have figured out that I have to make choice between CS and math+CS since I can only apply 1 major 1 time.
She said DISCRETE MATHEMATICS will fulfill both CS and math+CS.
I think it means she recommend to take this course, but I’m not sure how much opportunity it will earn me for admin.
Since I’m an international student, I’m in the lowest priority.
BTW, do you know how I can estimate the chance for transferring? I’m still learning how to use forum.