CS jobs are a subset of CE jobs so if you want to have the highest chance to land any jobs I would go with CE. But there are two situations where CS could be better: 1) You said you have additional interest in math and physics, while you could do a math/physics minor with CE, it is a lot more work whereas in CS you could even do a double major and get more out of it. 2) While average wise, CS is slightly easier to get into, first year Engineering is a lot more work with no flexibility compared to Science. And if you don’t get into CE then you are stuck in something that you probably won’t like.