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Nobody answered his question because it's been discussed ad nauseum in the rush forum. Try the first thread that I linked above, for starters.
If you want, though, I'll give it a shot. This is a rather simplistic example:
Let's say there's a campus with two sororities. One has 75 girls, the other has 50 girls. The larger is invariably looked on as the "better sorority." Let's say that quota is at 20, and there are forty girls rushing. About thirty of them are seen as "desirable." With the quota system, the larger sorority will probably get 20 desirable girls and the smaller will get 10 desirable girls and 10 "leftovers." Of course, some will drop out because they didn't get their first choice, but the majority will stay because they want to be a part of the Greek system and their pledge class isn't completely hopeless. Things are more even between the two sororities and the smaller group has hope that they can turn things around. Without the quota system, the larger sorority will get 30 desirable girls and the smaller will get 10 "leftovers." Most of those ten will drop out because they don't want to be a part of a sorority that only gets the girls that the first sorority can't get. If this happens year after year, the smaller group will eventually die out.
Of course that doesn't take into account a lot of details, such as the fact that not every sorority wants the exact same type of girl. But you get the point.
Yes, the smaller groups do die out as it is . . . but it takes a lot longer than it would if there was no quota system. With quota, it takes years for a sorority to die off. Without quota, it could happen in as few as two or three years. And usually the extra years given in the quota system provides the sorority with a chance to turn itself around and work its numbers back up. This happens more often than you'd think. If we didn't have quota, that would be infinitely harder.
Furthermore, sororities ONLY use the single bid system during formal rush. They don't use it during informal rush . . . and informal rush has its own set of problems. Switching to a multiple-bid system will not fix them.
And I fail to see how "sororities with sisters totally despising others sisters and hating them from the date of their induction" relates to the single-bid system -- that sounds like a problem within individual sororities, not a result of the single-bid system. There are plenty of campuses that use the single-bid system where this is not a problem.
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