Electrical and Electronics Engineering (EEE) and Electronics and Communication Engineering (ECE) are two different branches of engineering. As some of my friends had these courses, I can share some details about them, later analyzing which you can make a decision. 

• EEE is concerned with electrical engineering, which encompasses circuits, transformers, electrostatics, magnetics, and other related topics.
• ECE is concerned with the electrical and communication aspects of the subject. Communication is learning a programming language, VLSI, and coding. After CSE, it is the most popular branch among students.
• As a matter of interest, both the ECE and EEE branches are fascinating and demanding. 
• Hence, one should choose either of the two based on his or her own personal interests.
• If you don't have a particular interest and want to choose based on placement opportunities, then ECE is recommended. 
• It has a scope that is even greater than CSE. 

Because CSE is currently at its pinnacle and will almost certainly reach saturation in the next 4 to 5 years. So, at this time, it would be wiser to choose ECE. regardless of the college, whether it is NIT Trichy, NIT Warangal, or any other NITs or IITs in India.