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Originally Posted by Conjar
The important information is that in the first few seconds all three wise men would know that there are more than one blue hat (if there were only one blue hat, one of the three wise men would see two white hats and straight away say that his hat was blue).
Now let assume that there are two blue hats and one white hat. In this case two wise men would see one hat of each colour and since they know that there cannot be only one blue hat they would quickly deduct that their hat is blue. But neither of them claims that his hat is blue, meaning that all wise sages see two blue hats.
Which leaves us with the only possible solution that all hats are blue, and our hero stood up and said: "The colour of the hat I am wearing is blue."
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Where does it state there can't be one blue hat? I thought he claimed the exact opposite of that.