query: Number of different bijections between a set $S$ with $n$ elements and itself
positive_passages.docid: 45380
positive_passages.text: Surjectivity implies injectivity and conversely
negative_passages.docid: 124333
negative_passages.text: A bijection between $\mathbb{N}$ and $\mathbb{P}(\mathbb{N})$?
negative_passages.docid: 17268
negative_passages.text: Cycles in permutations of a given size
negative_passages.docid: 9411
negative_passages.text: Number of permutations of $n$ elements where no number $i$ is in position $i$
negative_passages.docid: 52348
negative_passages.text: Counting the number of surjections.
negative_passages.docid: 24212
negative_passages.text: proving how many permutations exist.
negative_passages.docid: 57954
negative_passages.text: How many transitive relations on a set of $n$ elements?
negative_passages.docid: 141984
negative_passages.text: Find the number of homomorphisms between $\mathbb{Z}_m$ and $\mathbb{Z}_n$
negative_passages.docid: 148731
negative_passages.text: Constructing a bijection between $[a,b)$ to $(0,1)$
negative_passages.docid: 1627
negative_passages.text: Cartesian product of an arbitrary number of sets
negative_passages.docid: 98313
negative_passages.text: Number of possible permutations of n1 1's, n2 2's, n3 3's, n4 4's such that no two adjacent elements are same?
negative_passages.docid: 106397
negative_passages.text: Counting ways to partition a set into fixed number of subsets
negative_passages.docid: 153370
negative_passages.text: Number of different partitions of N
negative_passages.docid: 41359
negative_passages.text: Constructing a bijection
negative_passages.docid: 13453
negative_passages.text: Bijection map from a set of subgroup to another set of subgroup under some condition.
negative_passages.docid: 70761
negative_passages.text: Number of ways to connect sets of $k$ dots in a perfect $n$-gon
negative_passages.docid: 21663
negative_passages.text: Bijection between power sets of sets implies bijection between sets?