Hello Student,

See,all branches of engineering are  good in their ways.which branch to choose is entirely depends on your interest regarding that field.
See ECE mainly deals with the embedded systems,digital electronics, control system,V LSL design,wireless and radio communication systems.
After completion of degree in ECE,there are various opportunities.
1.Core companies
-Designing department
-Production sector
-research department.
2.Software companies
-coding
-testing
-solution architect
Also.You can get a job in public sector,government sector or private sector.

EIE is new and advanced branch of engineering with various chances of placements .
It is also more preferable by students as it provides various opportunities and bright future.
This branch is almost similar to ECE.The btech in EIE deals with the maintainence,design and development of instruments within the industries
Instrumentation engineers work is to decide best quality instruments to be used for final product manufacturing.There are lots of opportunities in this field also.you can work in the field of power supply,.you can work in the field of chemical plant,you can get software jobs,after degree completion you can also go for higher education.
But, As I said Which branch to choose is entirely depends on your interest regarding that branch, your knowledge about that branch And also depends on for which branch you feel sure about...!!!
So start focusing on that first and then proceed.

Good luck