EEE Engineers focuses on the analysis, design, development and manufacture of electrical equipments, electronic devices, Mechatronics technologies, and automation and control systems. 
The scope of EEE is huge. Electrical & Electronics engineers can work in wide range of fields such as power generation, electronics, computers & control systems, telecommunication and Bio-Medical.
A computer engineer specializes in the theory of computation and the design of computational systems. Various jobs are available for computer science graduates with high paid salary such as in multinational companies like Google,Cisco,Microsoft,Adobe,Infosys,IBM etc and in various sectors like in army,aviation,space etc. Computer Science and Engineering has its place in every aspect.
If we talk about the scope then CSE has very huge scope then EEE but again I will say that it depends on your capability.