Would I be able to apply to the FSH program after appeals?

<p>So I got accepted a few days ago through appeals, and although I'm not completely sure in going to USC, I'm really interested in the Freshman Science Honors program. I was looking on the description on the website and it said that all applications after May 1st will be reviewed on a "space available basis." What are the chances that there are spots available? I don't want to take the time to apply and not get it just because the spaces are filled. And is it too late since I was accepted off of appeals? Any help would be appreciated.</p>