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Four. If there are three and only three mice "opposite" each corner (in the other corners). Otherwise there would be more than three "opposite" each corner. (The part about the tail was not part of the original riddle, but basically they're saying that each mouse can see the other three in their corners.)

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14y ago
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Q: How many mice are there in the room if there is a mouse in each of the four corners and opposite each mouse there are three mice and at each mouse's tail there is a mouse?
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