There are quite a few stories on here of girls who had drastic cuts (for example, a 7 party round and they only got 2 groups) but still ended up in a sorority they loved. Believe me, if you have 3, that's 2 more than some girls rushing with you have.
Just be sure to maximize your options when signing your bid card - which it sounds like is not an issue with you since you like all the groups you're going to. Again, that's a lot more than some girls rushing with you have.