Hello.

Computer Science Engineering (CSE) encompasses a variety of topics that relates to computation, like analysis of algorithms, programming languages, program design, software, and computer hardware. Computer Science engineering has roots in electrical engineering, mathematics, and linguistics

Metallurgy is a domain of materials science and engineering that studies the physical and chemical behavior of metallic elements, their inter-metallic compounds, and their mixtures, which are called alloys.

So there is no common thing btw these two groups. If you are interested in both well that is a rare case. If you want to study metallurgy the go for IITM if you want to study CSE then go for NITT.

what ever the option you choose is not just a option you must have passion towards that course.

Hope this is helpful.

Good luck.