I would advise you to go into Mathematics, as this way you'll still be able to take some of the CS courses at your leisure (as CS obviously falls under the Math department).

I don't know who designed the CM program but my impression is that they assembled an assortment of courses from across the math faculty.

As for CM and CS, the first two years will actually be pretty similar.

In CS there seem to be more possibilities, but with more complicated requirements. (Actually, I just checked them, and I wouldn't even trust myself to remember them all; maybe keep a scorecard or something to ensure you can actually graduate. )

The program is flawed, but all programs are flawed. At least the CM requirements are being worked on and getting better in terms of flexibility and scheduling. Not all programs can claim this.

I think universities do students a disservice by creating fifty thousand programs which are largely repackaging of courses, often with not much coordination between them. Even something like CS, which has been around for a while, has too many variations, options, and joint programs. Students think they need these credentials to distinguish themselves from the pack. Something new comes along, and everyone goes for it. Then something else comes along a few years later.

Employers aren't going to understand what CM is. There haven't been enough graduates. You will have to explain it to them. On the other hand, employers are perfectly aware that among the hundreds of students earning a CS degree each year, some are superstars who could do well at any job they're given (even one in a completely unrelated field of which they know nothing on day one) and some have just barely scraped through and are probably fit only for installing software on new laptops. Those extremes are probably easy to distinguish. What's between is another matter.

No program will guarantee you a job if you sit on your butt and wait for it to come to you. Conversely, the lousiest program will not hold you back if you take charge of your education. It is up to you.

CM has potential, but only if you take an active role. You need to be good in math and at least decent in computing. I don't think it's a good choice for a mediocre, lazy student. I don't know what is a good choice for such a student -- maybe something that will inspire them enough to put in some work. But if nothing will, a highly-structured, narrow program at least minimizes poor choices on their part.

Sorry, no easy answers. At least you're thinking about it. Too many students have already made choices based on some pretty flimsy reasons.

Prabhakar Ragde you said, "You need to be good in math and at least decent in computing." What about a major in CS? Do you good math and programming skills to succeed in the program and later on in life with jobs?

Are CM graduates competing with CS graduates for jobs?

First year. Second year is different in the programs.