I think EEE offers a wider range of job possibilities.
Having spent a long career in telecom and IT, I think the space is saturated with experienced people and will be for some time to come, making jobs for new grads few and highly competitive. If I was restarting my career today, I'd target medical electronics - medical sensors, instruments, monitors, prostetics, and similar. With an aging population bubble desperate to extend life and improve comfort and independence, the next 20 - 30 years will have this as it's biggest growth area, similar to telecom in the 80's and 90's.