On my campus, anything from a fraternity or sorority house is fair game. When mixers were ok in fraternity houses, and we did a quad, a paddle or a composite would always come up missing! Or, they'd have their pledges come to our houses and steal our paddles or composites.
One time, we found out who stole our Delta off our house, and ironically, it was a fraternity who has a Delta in their name. SO, what we did, was went and took their Delta and put it up on our house.