Hello Aspirant ,

Yes you can study Chemistry , Botany and Zoology as main core subjects in B.Sc Life Science.

According to the CBCS syllabus recommended by University Grants Commission , you will have above mentioned subjects as the core courses in all semesters.

You can go through  the syllabus by visiting the official website i.e.,

https://www.ugc.ac.in/pdfnews/0828328_B.Sc.-Life-Sciences_new.pdf

B.Sc. (Life Science) is a undergraduate degree course.

I hope this helps.