Two girls, one room: help me pick the tenant!

[Ron Gallagher]

I have one room left to rent out in my group house and I have two girls who have the exact same credit history, they submitted the rental application within minutes of each other, they showed up to look at the house at the exact same time, they both want to move in on the same date, basically they are equal in every way.  How should I fairly decide who I should offer the room to?  Decide based on whose name comes first in Alphabetical order?  Take votes in the BP forums? This is one of the toughest decisions I have ever had to make as a landlord!  Help me!!