Relations and F...

The number of one-one functions that can be defined from $$A=\{4,8,12,16\}$$ to $$B$$ is $$5040,$$ then $$n(B)=$$

If $$f:R^+\rightarrow [1,\infty)$$, defined by $$f\left( x \right) ={ x }^{ 2 }+1$$, then the value of $${ f }^{ -1 }\left( 17 \right) $$ and $${ f }^{ -1 }\left( -3 \right) $$ respectively are

The number of injections that are possible from $$A$$ to itself is $$720,$$ then $$n (A) =$$

The number of one-one functions that can be defined from $$A = \left \{ 1,2,3 \right \} $$ to $$  B = \left \{ a,e,i,o,u \right \}$$ is 

The number of non-surjective mappings that can be defined from $$A = \left \{ 1,4,9,16 \right \}  $$ to$$  B=\left \{ 2,8,16,32,64 \right \}$$ is

If $$ f:A\rightarrow B $$ is a constant function which is onto then $$B$$ is

If $$ f:A\rightarrow B $$ is a bijection then $$ f^{-1} of = $$

The number of bijection that can be defined from $$A = \left \{ 1,2,8,9 \right \}  $$ to $$  B = \left \{ 3,4,5,10 \right \}$$ is

The number of possible surjection from $$A=\{1,2,3,...n\}$$ to $$B = \{1,2\}$$ (where $$n \geq 2)$$ is $$62$$, then $$n=$$

The number of injections possible from $$A=\{1,3,5,6\}$$ to $$B =\{2,8,11\}$$ is