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I submitted my resume to a few schools and then just realized I had the wrong date as a club officer a few years back. It was an honest mistake...I spent 2 hours searching in old emails just trying to find out when did what happened...

So now should I submit a new one to correct it?

Wrong date as in Aug 2010 vs Sept 2010 or Fall 2010 vs Fall 2012?

Chances are that they will just see you did it and not care when.