BCA

You can be eligible if meeting the below eligibility criteria :
Educational qualification : 10+2 (min 50%) with Maths / Computer Sc. / Informatics Practice / Computer Applications / Multimedia & Web Technology / Data Management Application / Web Application
Selection Process : For the time being Selection Process is based on video responses to the questions posted through the VIDEO LINK available on Admission Microsite. Your 12th Patrachar course is valid for admission in all Universities for eligible UG courses.

Yes, you can take admission in BCA course. The eligibility criteria is varying according to Universities. Few of them are asking about Maths at class 12th level, while for some Universities Math is not necessary in class 12th.

I think you should go with B.Sc. Statistics, because B.Sc. Data Science students have big competition with B.Tech CSE students and most of the companies prefers to select the B.Tech CSE students in place of B.Sc. Students.