Even if there was some way for this to happen...at Nebraska, it would not be appreciated.
I don't know that at all campuses IFC and Panhel have the same sort of mildly antagonistic relationship that they do at Nebraska, but with that in place, the female president would have no real power.
I don't want anyone to think that the IFC and Panhel are actively fighting or that the exec officers don't get along, because they do get along really well (they all hang out together enough in Greek Affairs that they had well better). What I mean, is that on a number of issues there are ways in which Panhell believes they should be handled and ways in which IFC thinks the issues should be resolved. This may be more of conflict between member reps of the councils and not so much the execs. But, there is no way that a woman fully understands the perspective of the fraternities that she would be required to represent, even if she is in a co-ed organization.
But as 33girl has said, there is the far bigger issue of the "non-social" GLO's and their status as real greeks. This is one symptom of that issue.
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