Fashion Design

Definitely, NIFT is the best institution for a design course.

You can refer the link below to know the colleges for fashion designing in Tamil Nadu:
https://www.shiksha.com/design/fashion-design/ranking/top-fashion-design-colleges-in-tamil-nadu/94-2-123-0-0

You can refer to the link to know all the entrance exams for fashion designing along with their exam dates:
https://www.shiksha.com/design/exams-st-3

Yes. Doing fashion designing after choosing Science stream in Higher secondary classes is of course possible. In fact, Maths or biology students too give entrance exam of N.I.F.T. (National Institute of Fashion Designing & Technology) and even get selected in that.
So, its a better choice to do fashion designing after choosing Science, because it enables you to get good marks with so much of knowledge required for life as well makes your dream come true of being a Fashion designer.

Fashion designing is one of the most lucrative, appealing, glamorous and exciting career options in today's world.several export houses, garment store chains, textile mills, leather companies, boutiques, fashion show organizers, jewellery houses and media houses recruit professionals interested in a career in fashion designing. There are certain colleges/institutes which provide better education and placement services to the students like Lovely Professional university, IMS-Design and Innovation Academy, Apeejay Stya University, Haryana.

You can become a Fashion Designer even with your Science background. Your are advised to appear in Common entrance examination conducted by NIFTs for admission in B.Design degree course. You may refer nift.ac.in for further details.