How many functions f:{1,2,3,4}→{1,2,3,4,5}f: \{1, 2, 3, 4\} \to \{1, 2, 3, 4, 5\}f:{1,2,3,4}→{1,2,3,4,5} are there such that f(i)≠if(i) \neq if(i)=i for all i∈{1,2,3,4}i \in \{1, 2, 3, 4\}i∈{1,2,3,4}?
120
256
384
409