The Lottery Redux

There is a sign up at the elementary school near where I live. The school is accepting applications for a pre-kindergarten class for the coming school year. However, since more applicants than positions seem likely, the accepted candidates are to be chosen by lottery. This is not an easy task since there are places for only 35 children, and 42 have already applied. As I understand it, there will be 42 stones in a grab bag. The numbers 1 to 35 have been painted on some of the stones and 7 of the stones will be unmarked. Each child will draw a stone out of the bag and if they have a number from 1 to 35, they will be accepted into the class. The 7 (or maybe more) children who have blank stones will not be accepted into the class. Since they are excess children, and therefore rejected by the educatonal system, they will be dealt with expediently. The children with unmarked stones must return them to the bag. The 35 children who drew the lucky numbered stones are to cast their lucky stones at the unwanted children until they are no longer a threat. Other solutions have been suggested, but this time honored method has met with the most approval so far.