See, EEE is a very theoretical branch, or in other words it focus very much on pure electrical concepts like circuits and systems, and other subjects related to the machinery of electric transmission.

While ECE mainly deals with semiconductors, digital signal processing and other subjects relating to the communication domain. Now you will easily get ECE in many engineering colleges but finding EEE is not vey easy as very few engineering colleges have it. Now, placements in both is great but with ECE you'll have an edge in many government jobs like the IES. So, measure both the pros and cons and take the decision accordingly.

Hope I have answered your question. All the best!