But Exactly Which One?

Logic Level 2

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

 (1) Exactly one of the other two statements is true. (2) Exactly one of the other two statements is true. (3) Exactly one of the other two statements is 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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