But if they don’t matriculate at Princeton, they may not necessarily get credit towards college graduation for those courses.
Example: Dartmouth will only give you up to 4 credits. You might be able to use coursework from high school to place into a higher level course, but you won’t receive credits towards graduation. https://admissions.dartmouth.edu/glossary-question/i-have-taken-college-courses-will-those-credits-be-transferable