Find all such mappings where $A=\{1,2,3,4\}$, $B=\{1,2,3,4,5,6\}$ and $f:A \to B$ is an injective mapping such that $f(i) \neq i ~\forall i=1,2,3,4$.
113360
How many injective functions $f:[1,...,m]\to{[1,...,n]}$ has no fixed point? $(m\le n)$
82003
Bijection between sets of ideals
145077
A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?
32340
Continuous bijections and their inverses
72642
Continuous bijection from $(a,b) \to S^1$?
34260
Injective function from $\mathbb{R}^2$ to $\mathbb{R}$?
139779
Homotopic maps have homotopy equivalent mapping cones
114219
The map $f:\mathbb{Z}_3 \to \mathbb{Z}_6$ given by $f(x + 3\mathbb{Z}) = x + 6\mathbb{Z}$ is not well-defined
152438
Is the composition of two injective functions injective?
90616
When is mapping $g$ to $g^{-1}$ a group homomorphism?
117793
Finding a function $\mathbb{N} \to \mathbb{N}$ that is surjective but not injective.
43626
Open Mapping Theorem: counterexample
28692
Find if set $I$ of all injective functions $\mathbb{N} \rightarrow \mathbb{N}$ is equinumerous to $\mathbb{R}$
135634
Prove that there exists a smooth map $g\colon R\to R$ such that $f(\cos(t),\sin(t))=(\cos(g(t)),\sin(g(t)))$ and satisfying $g(2π)=g(0)+2\pi q$.
133355
Let $y=g(x)$ be the inverse of a bijective mapping $f:R\to R f(x)=3x^3+2x.$Then area bounded by the graph of $g(x),x-$ axis and the ordinate at $x=5$
97390
Math - mapping numbers
64583
Number of surjective functions from A to B