The major difference between Electronics and Instrumentation engineering and Electronics and Communication Engineering is the instrument study and communication study . Yeh electronics part of both the engineering is kind of  same where you study of Electronics components like transmitter, receiver, BJT etc .while in EIE you also study about Instrumentation which eman study of instrument . It is an  industry based engineering that have developed in recent years in India which deal with an installation, automation , calibration of instruments in Industry .

While in ECE you study about the communication field like wifi , IOTs a common example is out Sim cards application and many more . Both branches are good in their sides . If you are from ECE there is a chances of you getting a software company also . The companies providing job to both of the branches are quite same .