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When the farmer returns to the original side, he has the choice of taking either the wolf or the cabbage across next. If he takes the wolf across, he would have to return to get the cabbage, resulting in the wolf eating the goat. If he takes the cabbage across second, he will need to return to get the wolf, resulting in the cabbage being eaten ...
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Dog, sheep, and cabbage. A river crossing puzzle is a type of puzzle in which the object is to carry items from one river bank to another, usually in the fewest trips. The difficulty of the puzzle may arise from restrictions on which or how many items can be transported at the same time, or which or how many items may be safely left together. [1]
The farmer can't take two items across the river at once. The conditions of the puzzle say "in crossing the river by boat, the farmer could carry only himself and a single one of his purchases". As for citations, there are plenty in the References section, and the Occurrence and variations section describes the origins of the puzzle.
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