Let \( S=\{1,2,3,4\} \). Then the number of elements in the set \( \{f: S \times S \rightarrow S...

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Let \( S=\{1,2,3,4\} \). Then the number of elements in the set \( \{f: S \times S \rightarrow S: f \) is onto and \( f(a, b)=f(b, a) \geq a \forall(a, b) \in \) \( S \times S\} \) is
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