Hello, I want to attend the Unuversity of Michigan or NYU for undergrad, and I’m a Junior in high school now. So far, I’m taken 3 APs this year and I plan on taking 5 APs and another hard class next year. However, I’m stuck between dual entrollment or AP. Which should I take? Which would look better? And which will provide me a better chance into these and other prestigious undergrad schools?
Hello! I’m still a high school student so I’m not sure how much weight my answer holds but I asked my counselor the same question and he said that that while both look good to prestigious schools, he considers AP classes to be better. While dual enrollment shows motivation, they don’t give your GPA the boost an AP class would (college classes are only worth 4.0), so you might be at a disadvantage ranking-wise. However, once you get to a certain number of AP classes it all looks the same so in that case, dual enrollment may look better. I took 4 APs my sophomore year and I’m taking 6 this year, so I’ll be taking a dual enrollment class next year just to mix it up a bit, but it’s honestly up to you as both look great. 
Generally speaking, APs are considered more rigorous
This part about weighting and its effect on rank do not matter. The UW GPA is more important to AOs, as there is no standard rubric for how high schools weight classes. Some HS’s do weight DE classes.
Back to the original question, given a choice between AP and DE for the same material, AP would probably be the better option because it is a known product. The AP course has a standard syllabus that all schools/teachers have to more or less follow. The rigor of a DE course will depend on the instructor and/or institution offering.
That said, it’s totally fine to supplement your course choices with a DE option when it makes sense. e.g. a post-AP Calc course.
You’re really asking the wrong question. Colleges want you to take the most rigorous schedule you can handle, but as others have noted, once you get beyond 6-8 APs/DE/IB/post-AP classes, additional ones will not significantly improve an application.