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Interestingly, the number of women who put chapter C down or don't put chapter C down can actually affect quota, which in turn affects their chances of being placed at A or B.
For a GROSSLY simplified example of how this could happen:
Fifteen women go to A, B, and C for pref.
If all fifteen list all three, quota is five and all three chapters make it.
If ten list all three, and the remaining five list only A and B, and those five are the highest on both A and B's list, quota is five and all three chapters make it.
If ten list all three, and the remaining five list only A and B, and those five are the lowest on both A and B's list, a quota of five now only places ten women, with five unmatched. Raising quota to 6 now places twelve women, with three unmatched. Lowering quota to 4 places ten women, with five unmatched, but better balances the chapters. The quota-setters have to make a tough call about whether to place more women at the expense of parity.
Of course, no example is this simple and there are other chapters in the mix, etc., but it is indeed true that, in the aggregate, PNM decisions can affect their chances.
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