Bachelor's in ChE with a Master's in BME (or the other way around)?

<p>Is it a good idea to go for a bachelor’s in ChE and then get a master’s in BME? I heard that the job outlook for ChE is not too good, so I think doing something like this will open up a lot of job possibilities. Also, I heard that a master’s in BME won’t find me any jobs. What jobs can I even get with an education in ChE and BME?</p>