Depends on the job, and depends upon your aptitude and particular area of expertise. Most organizations will want a mix of expertise and experience, to make a "fully rounded" team, so people who are enthusiastic, can speak to a couple of different disciplines, and who can communicate effectively will always be in strong demand. Computer Science and Mathematics is a good combination to have. For example, for a lot of the stuff that I do, mathematics helps a lot, particularly demonstrable familiarity with statistics, linear algebra, basic calculus, and anything else relevant to machine learning. If you match that with good technical skills in C++ (or perhaps Java), you will have a highly marketable skill-set across a range of industries.
Personally, my undergraduate degree was in Artificial Intelligence, so I have ended up doing fairly well with quantitative developer & data science oriented roles, and have never found myself short of work, irrespective of the state of the broader economy.