# Derange Me!

Discrete Mathematics Level pending

Let $$A=\{ 1,2,3,4,5\}$$ and $$B=\{0,1,2,3,4,5\}$$. How many one-one functions $$f:A\rightarrow B$$ can be defined so that $$f(i)\neq i\quad \forall i=2,3,4,5;$$ and $$f(1)\neq 1(or)0$$

×