Dear Shalini, there is not any combined degree for science and commerce. But if I call to talk about separately there are lots of option in both fields.
If I talk about science background you can go for engineering or any other your interested field like interior designing, fashion designing arts too. For entrance exam most know for science background student is JEE and other are state engineering exam and other private college takes its own exam.
If I talk about commerce background you can go for BBA, LAW, CA, BBS, CFP, BFA, BMS etc
Both streams have own importance so choose according to your interest which helps you in further studies.
All the best dear for your bright future
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