How many people get asked for an interview and how many get offered a place in a YC batch?
Paul Graham stated:
"We funded three percent of the applicants just like we always do."
Reference: http://allthingsd.com/20110823/y-combinator-unloads-massive-new-batch-of-start-ups/
YC doesn't really publicize this data. However, a rough estimation is around a third of teams are selected from the interview round- see this article in Wired for some numbers on an incoming class. The odds of getting selected for an interview are much lower- YC only invites around 70-80 teams to interview according to their site