For those wondering about the differences in Collegiate wrestling (folkstyle) and Olympic wrestlic (free style & Greco Roman), I'll copy and paste a pretty good explanation:
There are three styles of wrestling you're covering here. Folkstyle/collegiate (practiced only in US schools and not internationally), Freestyle (one of the international/Olympic styles), and Greco Roman (the other of the Olympic styles).
'Every American wrestler came up from youth wrestling through college doing Folkstyle. That includes the NCAA championships. However all of the top wrestlers in the US train (and at least compete a bit) in both Freestyle and Greco in the offseason. If they're going to compete internationally after their collegiate career, they specialize in one.
The differences are in the rules and scoring. In Folkstyle, there is more ground work because the referee will not stand you up if there is a stalemate. In Folk, there's also more of a focus on escapes/reversals from bottom, because it's harder in Folk to score points for exposing your opponent's back to the mat (you need to break a 45 degree angle and control them for a few seconds to score). In the international styles, the ref stands the wrestlers up pretty quick if there's nothing happening on the ground (i.e. a turnover), and you only have to expose your opponent's back to the mat for a second to score points (that is, you can roll them over and score).
As far as takedowns, that's what separates Freestyle from Greco. In Greco you can't attack the legs, or use your legs to trip for a takedown. In Freestyle you can use any type of takedowns you like. There are also some smaller differences between all three, but it makes no sense to cover that here.'