How tough is it to get into Hayden?

Just submitted my housing application with Hayden as my first choice. I heard that it’s apparently a very popular choice and was wondering if anyone has an idea about how many people actually get to room there. the NYU website says that the housing assignments are made on a rolling basis, so I was wondering if submitting my application today (5 days since my acceptance letter has been mailed) would sort of indicate whether or not I’d get in? Thanks :slight_smile: