Dear Charismao01,
Thanks for your post!
The short answer to your question is that the policy often varies from school to school. As such, you should really be checking in with each of your target programs to get a definitive response. In my experience, the majority of programs only allow for you to have one application pending with the school at a time - e.g. you can't apply to both. I also think the danger with looking at both options - and alerting the adcom to this fact - is that it might suggest a lack of focus/knowledge of what you want, since the part-time vs. full-time experiences are quite different.
Here is Wharton's policy with their full-time MBA vs. Part-time EMBA offering, FYI:
May I apply to both Wharton MBA Programs?
Wharton does not accept simultaneous applications to the executive and traditional MBA programs. Any questions regarding eligibility and requests for exception to this policy should be directed to both Directors. We reserve the right to withdraw offers of admission to any candidate who does not obtain written permission to apply to both programs, or who does not disclose a prior application to any other Wharton program. Admitted students may only matriculate in one program. Acceptance of one admission offer will automatically negate all other offers.
https://www.wharton.upenn.edu/mbaexecuti ... aq/faq.cfm
Best of luck,
Graham