Science

Yes, I think, because they don't count Physical Education or Music or any other subject.

You can do banking services jobs based on your Commerce background. Maths Knowledge of 10th class is sufficient for banking jobs. You will require good numerical and data interpretation ability to clear all banking services exam both for PO and clerical services.

Dear,
If you don't want to enter into teaching job, you can enter into research field. And, for that, you need to invest approximately 7-8 years in studies.
If you don't want to invest much and not interested in research, you may consider Psychology as a option.
Do research on given topic and choose the way accordingly.
All the best.

Both are good course. Go for the branch which is really interested to you. There are plenty of research scopes in both field of studies. So you may go for any one depending upon your choice.

There are some colleges in Delhi University that are good for any course but their cutoff is too high. So, decide your choice of colleges based on your 12th percentage.

Physics
Chemistry
Mathematics
One language
C+/physical education/engineer graphics/economics, etc.

Doctor (MBBS)
Academician (B.Sc)
Physiotherapist (BPT)
Occupational Therapist (BOT)
Biotechnology and Genetic engineering
BAMS
BHMS
BBA
BMS/BCA (if you have maths)
Law
BJMC (mass communication)