It is always suggested to do your graduation from India. There are good management institutes in India than in abroad. In India for BBA there are entrances for admission in this course. The course BBA in abroad can be of 4 years which includes your internships and project based research and in India it is a 3 year course.
To get admission in abroad universities, there is a SAT exam and English proficiency exam like IELTS/TOEFL.
After completing your BBA program, you have the option of joining as a Management Trainee / Executive Trainee in any of the sectors like Banking, Consultancy, Finance, corporates, marketing, creative, & IT companies.
Later based on your interest you can plan to do masters in abroad.
Good Luck.
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