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 \(f(1)\neq 1(or)0\)

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