In case the Government College is an good IIT or NIT or some good GFTI/ State Government College like PEC or DTU choose Metallurgical/Chemical there at your rank. Both are very exciting branches with opportunities in both Core and Non Core as well as Research. While if the Private College you are talking of is a BITS or similar top Private Institute, no doubt overlook everything and join CSE or a circuital branch there.

If none of the above case relates to you, join CSE or ECE at any good Private College you are talking of. Only if the other options are none of Top Government or Private Institutes like BITS Pilani

For more information and college prediction do follow the link below.

https://engineering.careers360.com/jee-main-college-predictor?icn=QnA&ici=qna_answer

https://engineering.careers360.com/jee-advanced-college-predictor?icn=QnA&ici=qna_answer