In every group of shepherds in Hyperborea, at least one is a Sororean, who always speaks truthfully, and at least one is a Nororean, who always speaks falsely.
A visitor approached four shepherds on a hillside and asked each how many of the four were Sororeans. These answers were given:
- Three of us are Sororeans.
- One of us is.
- There are two of us.
- None of us are Sororeans.
The visitor approached four more shepherds on another hillside and asked how many were Nororeans. Their answers follow:
- We are all Nororeans.
- One of us is.
- Three of us are.
- The fourth shepherd declined to speak.
How many of the shepherds on the two hillsides were Sororeans?
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