Under which circumstance can a tax return include both an AOTC and a lifetime learning credit $($LLC$)?$

If sufficient tuition was paid for one child to be eligible for both credits.

If the student is filing their own return and spent part of the year in a degree program and the other part of the year taking a class that was not part of a degree program.

When a parent has two children in school and claimed the AOTC for one child and the LLC for the other.

When a parent has one child in school and claims the AOTC for the fall semester and the LLC for the spring semester.