Proof WritingChallengeExistence, Uniqueness and Counterexamples ShareExistence, Uniqueness and Counterexamples · Challenge problemHow many functions f:{1,2,3}→{1,2,3}f: \{1, 2, 3\} \to \{1, 2, 3\}f:{1,2,3}→{1,2,3} satisfy "for every xxx there is a yyy with f(f(y))=xf(f(y)) = xf(f(y))=x"?Check Show answer Walk through it step by step Practice more like this Review this concept