query: Average length of a cycle in a n-permutation
positive_passages.docid: 149423
positive_passages.text: (combinatorics) prove that on average, n-permutations have Hn cycles without mathematical induction.
negative_passages.docid: 69827
negative_passages.text: Set conditions at a permutation
negative_passages.docid: 4555
negative_passages.text: How to write permutations as product of disjoint cycles and transpositions
negative_passages.docid: 76104
negative_passages.text: Bipartite graph. average degree. Euler circuit.
negative_passages.docid: 128966
negative_passages.text: Explicit bijection between $\Bbb R$ and permutations of $\Bbb N$
negative_passages.docid: 81167
negative_passages.text: How many ways can the average of n dice be a?
negative_passages.docid: 58103
negative_passages.text: number of permutations in which no two consecutive numbers are adjacent
negative_passages.docid: 35648
negative_passages.text: How many permutations of the set n={1,2,3,3,3,4,4,5} are possible without any consecutive identical elements?
negative_passages.docid: 93459
negative_passages.text: Number of permutations of unspecified length
negative_passages.docid: 155372
negative_passages.text: Find the number of permutations in $S_n$ containing fixed elements in one cycle
negative_passages.docid: 117862
negative_passages.text: Number of partitions of an $n$-element set into $k$ classes
negative_passages.docid: 62175
negative_passages.text: A general formula for $n$ distinguishable arrangements of length $\ell$ of a sequence of a given size?
negative_passages.docid: 48838
negative_passages.text: Proving the number of $n$ length binary strings with no consecutive $1's$ $b_n$ is equal to $b_{n-1} + b_{n-2}$
negative_passages.docid: 40852
negative_passages.text: Number of ways of distributing $n$ identical objects among $r$ groups
negative_passages.docid: 57644
negative_passages.text: Lower bounds for ${{2n} \choose {n}}$
negative_passages.docid: 95378
negative_passages.text: Known bounds for the number of groups of a given order.
negative_passages.docid: 132118
negative_passages.text: Computing the $n^{\textrm{th}}$ permutation of bits.