Does UC Berkeley admit by school or major, and if the former, which school is the less competitive?

I am planning on majoring in Chemical Engineering. As far as I’m aware, this is offered through both the Berkeley College of Chemistry and College of Engineering. Do admissions happen into either the Chem/Engineering schools, or will it be within the Chemical Engineering major? If by school, is there any real difference between the two colleges in admission?

Chemical engineering is only offered in the College of Chemistry, and the joint majors with chemical engineering are administered by the College of Chemistry.

Alright, thanks