Quote:
Originally Posted by breathesgelatin
So the question is... Let's assume that the PNM in question, who ranked sorority B #2, was #126 on their bid list. Sorority B has filled 24 of their 25 remaining places with girls who ranked them #1, but were not on their first bid list. There's one spot in Sorority B left.
So who would match to Sorority B first? The PNM in question, who was #126 on their list and ranked them second, or another PNM, who was #127 on their list and ranked them first?
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Let me see if I can answer this..
If the sorority that the #126 PNM ranked first has filled quota then she will match to sorority B and #127 will not. The method will not move #127 onto the first bid list (ie where matches are made) until #126 moves off which she can only do in 2 ways. The first way is to match to her first choice, in which case #127 moves on to the list of B and matches. The second is to match with B when A has filled quota and by matching #126 B fills quota and #127 does not match with B. At this point the method attempts to match #127 with her second choice.
The key here is that the number of names on the first bid list plus the number of names on the matched list can never ever be more than quota. So, when a chapter has filled all quota spaces but 1, then their first bid list numbers 1 name and only 1 name until that there is a match. Then their first bid list numbers 0. You also need to remember, once a PNM moves onto a sorority's first bid list she does not move off it until she matches somewhere.