Let A = (1,2,3, 4,5} and f: A $\to$A be an into function such that  $\mathrm{f}\left(\mathrm{i}\right)\ne \mathrm{i},\mathrm{\forall }\mathrm{i}\in \mathrm{A}$, then number of such functions f are 

Total number of functions for which $\mathrm{f}\left(\mathrm{i}\right)\ne \mathrm{i}=4^5$ and number 
of onto functions in which $\mathrm{f}\left(\mathrm{i}\right)\ne \mathrm{i}=44$ 
Required number of functions = 980