[Fritsdehacker]

I had a similar experience, though not with a house. My sons school was organizing a couple of sport activities. We could sign him up for the different activities, but it was first come first serve. We were early, so our son ended up doing all the activities. This meant some kids ended up getting nothing.

I found this very unfair. Better would have been to let all the kids list there preferences and then fairly distribute the kids over the activities. However, I could see why the school wouldn't want to bother with this.

I ended up creating a tool (1) for them to do this easily. It's quite ugly, but it's open source (2) and it works. The tool is in dutch because it's a dutch school.

(1) https://eerlijke-indeling.nl/ (2) https://github.com/deliriouspenguin/eerlijke-indeling