As such, we completed a registration phase which noticed what seats were available, and were able were able to offer 3 multiple chocie alternatives, since no paddle was a valid option for a given group.
We then used the groups created to hold a trivia game, asking multiple choice questions and allow each group to vote on which answer was correct. Once the number of people voting on one choice passed a threshold, that answer was selected for the group.
Unfortunately, bugs at demo time prevented the trivia game from being played.