Both branches are good it depends on your interest & capability & have the scope in its fields.

EEE: Electrical and Electronics Engineering branch deals with Electrical technology and machines, circuit analysis, electronics, electromagnetism, electrical engineering materials, instrumentation, control systems, power engineering and transmission and distribution.

ECE : This branch mainly deals with analog transmission, basic electronics, solid state devices, microprocessors, digital and analog communication, analog integrated circuits, satellite communication, microwave engineering, antennae and wave progression. It also deals with the manufacturing of electronic devices, circuits, and communications equipment.

Scope

EEE : Electrical graduates are employed in Electricity Boards/Utility companies responsible for installation, maintenance, operation of power handling equipment and systems. Industries manufacturing large electrical machines and equipment employ engineers in design, production and testing.

ECE: In ECE, the scope to land into government jobs is great. An electronics engineer can find a job in Central Government, State Governments and their sponsored corporations, private industries dealing in manufacture, sales and services of electronics consumer goods and appliances.

Good Luck!