From Summer B 2015 to Summer A 2016, the college of engineering(COE) had 822 applications and admitted 302 students. However, it’s much harder to get into some majors, than others. Mechanical Engineering will be very competitive.
http://cloud.flipb.com/university-of-florida/edition1/index.html#?page=18
Santa Fe has a partnership with UF’s COE (Gator Engineering at Santa Fe), which generated 641 applications, with 221 offers and 75 accepted. The major’s supported by the partnership are Computer Engineering, Computer Sciences, Digital Arts and Sciences, Electrical Engineering, Environmental Engineering, Materials Sciences and Engineering and then Nuclear Engineering.
Good Luck!