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Here's a thought: have a preference round where the chapters can invite the number of gals they want, to attend up to 3 parties (or whatever. I suppose 2 would work), and the girls rank all the chapters in descending order. Then they can attend up to 3. The houses that are looking for 5 girls would be crazy to invite 200 girls to their preference party so that should let a lot of girls down fairly gently and allow them to focus on more realistic options.
Hopefully based on their RFM history they would have a reasonable expectation of how many girls they should invite, even if they aren't following RFM to the letter. And if houses are not being cool about the number of girls they're inviting, then Panhel would have to step in the following year. But I really think now that schools see the beauty of RFM they wouldn't do anything too out of whack.
And then do a bid match with an individual quota like what Nebraska and Indiana do.
Thoughts?
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