But Exactly Which One?

Logic Level 2

If these statements are all logical, then exactly how many of them is(are) true?

\[\begin{array}{|l|}\hline\small{\text{ (1) Exactly one of the other two statements is true.}}\\ \small{\text{ (2) Exactly one of the other two statements is true.}} \\ \small{\text{ (3) Exactly one of the other two statements is true.}} \\ \hline\end{array}\]

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