Yes, you are eligible, not only commerce students instead if you are from any stream then also you are eligible for admission to BCA, even if you're from a non-mathematical background. Although not every university will be able to provide you admission, so the most important thing you have to do is

Placement: The main aim of the placement cell is to place the students in national, multi-national companies, government organizations, public sectors, and NGOs. The PC will ACT as the medium between students and industries and conduct various workshops and seminars to help them succeed in their car