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PaulLeon, I don't know enough to have a really informed opinion on whether there are more total E107s in the world than E103s. If I had to guess, I'd say there are more E103s. Until the last several months, when high prices chased a few E107s out of the woodwork, I'm sure I had seen many times more E103s offered for sale than E107s.
I'd be curious to know what people think is the more relevant measure of scarcity. I've always felt that if there are only an average of about 5-10 known examples of each card in a set, the set is damn rare, even if there are a hundred or several hundred different cards in the set. Old Judge Cabinets, Gypsy Queens, and E107s are examples of this. In my mind, these sets should be regarded as more scarce than a very small set with perhaps 50 of each card known. That's just the way I look at it. Otherwise, sets like the Rice Stix sets would be considered among the rarest of all sets. I'm sure others have the opposite view.