query: Consider the set $A=\{1,2,3,4,5\}$. Find the number of functions from $A\to A$ such that $f(i)\not =i$
positive_passages.docid: 23701
positive_passages.text: I have a problem understanding the proof of Rencontres numbers (Derangements)
negative_passages.docid: 45219
negative_passages.text: Proving that $C$ is a subset of $f^{-1}[f(C)]$
negative_passages.docid: 102515
negative_passages.text: Counting functions between two sets
negative_passages.docid: 65978
negative_passages.text: How many subsets does the set $\{1, 2, \dots , n\}$ have that contain no two consecutive integers if $1$ and $n$ also count as consecutive?
negative_passages.docid: 98151
negative_passages.text: Suppose that A is a countable set. Show that the set B is also countable if there is an onto function f from A to B.
negative_passages.docid: 151947
negative_passages.text: Finding a pair of functions with properties
negative_passages.docid: 137883
negative_passages.text: Cardinality of the set of all (real) discontinuous functions
negative_passages.docid: 114262
negative_passages.text: Find the cardinality of the following set $S_n=\{(x,y)|x^2+y^2=n, \text{where }x,y,n \in \mathbb Z\text{ and }n\geq0 \}$
negative_passages.docid: 55924
negative_passages.text: How many distinct functions can be defined from set A to B?
negative_passages.docid: 141225
negative_passages.text: Number of all bijective functions from A to A.
negative_passages.docid: 16687
negative_passages.text: Number of Equivalence relations of $\{1,2,3\}$
negative_passages.docid: 117793
negative_passages.text: Finding a function $\mathbb{N} \to \mathbb{N}$ that is surjective but not injective.
negative_passages.docid: 1643
negative_passages.text: Number of reflexive relations defined on a set A with n elements
negative_passages.docid: 136848
negative_passages.text: Find the number of nonzero elements
negative_passages.docid: 85658
negative_passages.text: Number of onto functions
negative_passages.docid: 118595
negative_passages.text: Proving that a set is countable by finding a bijection
negative_passages.docid: 12003
negative_passages.text: Cardinality of set of real continuous functions