Hey,

Electronics and Communication Engineering (ECE) : Branch deals with analog and digital transmission & reception of data, networking, voice and video, solid state devices, microprocessors, digital and analog communication, satellite communication, antennae and wave progression. It also deals with the manufacturing of electronic devices, circuits, and communications equipment like transmitter, receiver, integrated circuits, microwaves, and fiber among others.

An electronics engineer is qualified for jobs that include building electronic components for integration into larger systems, Integrated Circuit (IC) design work, board layout, programming micro-controllers and microprocessors, and field testing.

These engineers deals with all of the applications which make our life easier and enjoyable such as Television, Radio, Computers, Mobiles etc. are designed and developed by Electronics and Communication Engineers.

Electronics and Telecommunication Engineering (ETE) : Branch deals with various principles and practical aspects related to the designing various telecommunication equipment. Electronics and Telecommunication Engineers develop prototypes of integrated circuit components. Apart from this, it also combines various aspects of electrical, structural and civil engineering as well.

Telecommunications engineers handle different types of technology that help us to communicate. They research, design and develop satellite and cable systems, mobile phones, radio waves, the internet and e-mail.
So ECE has a wider perspective, covering all types of data communication while telecommunication,as the name suggest,is concerned with telephony/wired communication/satellite communication.

These engineers deals with consumer electronics, aviation and avionics, manufacturing, electricity generation and distribution, communications, transportation, telecommunications industry as electronics engineers.

Hope this helps.