I think most if not all schools offer more acceptances than they really have seats for, especially to OOS applicants, for the reasons mentioned above. I've never heard of someone who was accepted later not getting to go because too many people accepted their positions, if that's what you're worried about. I think schools do their best to avoid a situation like that, but if it happened they'd probably have to increase their class size.
I've seen those numbers myself and it does seem like a huge discrepancy, but you have to consider that Kansas as a state has a bad rep for being incredibly boring, and K-State itself is in a small college town with not much else nearby. For that reason, K-State is probably not a lot of people's first choice. Nothing against their vet school, but if location is a major factor in picking between schools you get accepted to, that might eliminate K-State for a lot of people.
