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“all but at most one” - What does it mean?

When a sentence has this phrase: "....which all but one refused to do."

Does it mean all refused to do and only one did it? Or does it mean everyone did it, except one didn't?

marked as duplicate by RegDwigнt Apr 15 '12 at 13:38

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It means that all refused to do and only one did it. Sometimes rearranging the structure helps to clarify: "all refused to do [it] but one."

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