Hi there
According to me,  EEE Would be better because EIE is a specialised branch of EEE, you'll learn electrical more in EEE rather than EIE and EEE mainly focused on measuring instruments used in the design and configuration of automated systems. There is basically control circuitry in EIE.
Where as EEE have a very broad field than EIE, you'll go through ece concepts as well there, and can also go into cse companies too, but there aren't enough scope of EIE.

Hopefully it's helpful.
Thank you!

Dear student,
You should choose a branch of your interest and what you wish ro do in life. Most of the courses are same but electrical people are more directed toward power system (they have to study machines, power electronics and all motor, generator etc)
While instrumentation people are directed toward automation type of things (like sensors, transducers and many other things they don't have to go to power sectors). Also ee students can give various exams like ies, etc as it is a definite subject in the kist but eie people would have to fill ee if they want to appear for ies. Placement of both depends on the college, generally eie has a better placement.

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