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<p>This is a frequent topic of discussion among parents of precocious children. So far, I have not found any college for which that is a problem, as long as the young learner takes college courses as a high-school dual-enrolled student, and doesn’t matriculate at an undergraduate college for a formal degree program. MIT, for sure (because I asked Matt McGann), lets you take as many college courses as you like in your pre-college days, and still lets you apply as a freshman admission applicant. Harvard and Caltech do the same (I know cases) and Yale does too (I checked its website). There may be some cases of California students who take courses from California community colleges then having to enter UC campuses as upper-division transfer students, but I need to check the facts on that more. The bottom line, according to the research I have done thus far, is that a student who takes college courses AS HIGH SCHOOL can accumulate as many college courses as he or she likes, and still apply to all the usual highly selective colleges as a freshman applicant.</p>