query: (Lower bound on) Number of subsets of a given size $j$ sharing (pairwise) fewer than $k$ elements
positive_passages.docid: 146204
positive_passages.text: Subsets sharing at most $i$ elements
negative_passages.docid: 82207
negative_passages.text: Number of Pairs of Subsets
negative_passages.docid: 157079
negative_passages.text: Maximal cardinality of a family of pairwise disjoint "figure eights" in the plane
negative_passages.docid: 43979
negative_passages.text: The total number of subsets is $2^n$ for $n$ elements
negative_passages.docid: 17268
negative_passages.text: Cycles in permutations of a given size
negative_passages.docid: 71159
negative_passages.text: Example of Erdos-Szekeres bound being tight
negative_passages.docid: 95378
negative_passages.text: Known bounds for the number of groups of a given order.
negative_passages.docid: 88628
negative_passages.text: Proving the total number of subsets of S is equal to $2^n$
negative_passages.docid: 44214
negative_passages.text: The number of subsets of a set of cardinality $n$
negative_passages.docid: 64269
negative_passages.text: Finding the minimal $n$ such that a given finite group $G$ is a subgroup of $S_n$
negative_passages.docid: 120095
negative_passages.text: How many ways to split n elements in k groups?
negative_passages.docid: 11967
negative_passages.text: number of subsets of even and odd
negative_passages.docid: 118674
negative_passages.text: Simple upper bound for $\binom{n}{k}$
negative_passages.docid: 144821
negative_passages.text: Number of ordered pairs of subsets
negative_passages.docid: 60007
negative_passages.text: Partitions with at most k parts, each of at most l
negative_passages.docid: 1409
negative_passages.text: Proving that the given set has at most $2^{n-1}$ elements
negative_passages.docid: 89611
negative_passages.text: Combinations of selecting $n$ objects with $k$ different types