is college's allowed to force students to stick college logo on their personal vehicles?

My college was forcing students to stick college logo( probably 7x7cm) on personal vehicles. it was for ad purpose like students also use personal vehicle to commute other than college, by sticking logo it is ad for college or at least that's what they said also mentioned for security idk how.. As everyone always almost wear id card else no entry inside college.. also they said only vehicle with logo is allowed inside college. This sticker is not given yet but staff saying it will be bigger than 7x7cm(probably) and it should be on headlight?! I asked then how we can drive in night/dark they said sticker will be transparent lol. I assume sticker will also comes with counseling code as my college is hardcore on ad for admissions for next year.... So, I'm wondering is it allowed for college to force students to do anything ? If you want to know which college it was VEC,surapet. Edit: I got my answers it for \*parking\* from reddit.. just our staff blabbered something...