Hello,
BSC in nursing means bachalor in science in nursing which is 4 years course. For admission BSC nursing in Mumbai you have to give entrance examination which conducted by State level or National level or conduct by colleges.
In Mumbai so many BSC nursing colleges are present. They are-
I'll give you a link below you can check it for more details about the college
https://university.careers360.com/colleges/list-of-nursing-science-degree-colleges-in-mumbai
All the best.
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