query: How many equal partitions of the set are trivially unequal?
positive_passages.docid: 157717
positive_passages.text: What is a mathematical solution to this problem? (Project Euler #106)
negative_passages.docid: 104010
negative_passages.text: The number of partitions of $n$ into distinct parts equals the number of partitions of $n$ into odd parts
negative_passages.docid: 98618
negative_passages.text: Integer partition with fixed number of summands but without order
negative_passages.docid: 153370
negative_passages.text: Number of different partitions of N
negative_passages.docid: 86263
negative_passages.text: How do we show there are the same number of elements in each of the sets?
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: 117658
negative_passages.text: A set with n elements has 2^n subsets
negative_passages.docid: 114968
negative_passages.text: Partition of a set, definition not clear
negative_passages.docid: 101179
negative_passages.text: Partition of a set and Hall's theorem
negative_passages.docid: 114990
negative_passages.text: Is the complement of countably many disjoint closed disks path connected?
negative_passages.docid: 11967
negative_passages.text: number of subsets of even and odd
negative_passages.docid: 19101
negative_passages.text: Permutation induced by a partition
negative_passages.docid: 89167
negative_passages.text: Cardinality of equivalence relations in $\mathbb{N}$
negative_passages.docid: 100482
negative_passages.text: What's the formula for partitions where each group has a different size?
negative_passages.docid: 84609
negative_passages.text: Unary intersection of the empty set
negative_passages.docid: 128834
negative_passages.text: Proving the number of even and odd permutations of a subgroup $H<S_{n}$ are equal, provided $H$ is not contained in $A_{n}$
negative_passages.docid: 146098
negative_passages.text: Number of nonempty subsets of a set with $n$ elements