If \(A\) and \(B\) are subsets of \(U=\{1,2,3,4,5\}\) such that \[A \cup B = U, A\cap B =\emptyset, \] how many possible choices are there for the ordered pair \((A,B)\)?

**Details and assumptions**

It is possible that \(A = \emptyset\) or \(B = \emptyset\).

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