query: How many permutations of the multiset $S = \{3\cdot a, 3\cdot b, 3\cdot c\}$ no two identical consecutive letters appear?
positive_passages.docid: 1405
positive_passages.text: Arrangements of a,a,a,b,b,b,c,c,c in which no three consecutive letters are the same
negative_passages.docid: 108747
negative_passages.text: A simple permutation question - discrete math
negative_passages.docid: 58673
negative_passages.text: Elements of order 5 in $S_7$, odd permutations of order 4 in $S_4$, and find a specific permutation in $S_7$
negative_passages.docid: 115209
negative_passages.text: Elementary formula for permutations?
negative_passages.docid: 9411
negative_passages.text: Number of permutations of $n$ elements where no number $i$ is in position $i$
negative_passages.docid: 148703
negative_passages.text: Permutations with repeating digits
negative_passages.docid: 158708
negative_passages.text: Counting the adjacent swaps required to convert one permutation into another
negative_passages.docid: 113953
negative_passages.text: Circular permutations with indistinguishable objects
negative_passages.docid: 8645
negative_passages.text: A formula for bit strings with no $k$ consecutive $1$'s using generating functions
negative_passages.docid: 34334
negative_passages.text: Combinatorics Problem with symbols and spaces
negative_passages.docid: 56135
negative_passages.text: Find all permutations with a condition
negative_passages.docid: 72853
negative_passages.text: What is the number of automorphisms (including identity) for permutation group $S_3$ on 3 letters?
negative_passages.docid: 114752
negative_passages.text: Number of permutations of a specific cycle decomposition
negative_passages.docid: 149609
negative_passages.text: Conditions on cycle types for permutations to generate $S_n$
negative_passages.docid: 46999
negative_passages.text: How many fixed points in a permutation
negative_passages.docid: 64052
negative_passages.text: Among any three consecutive positive integers one is a multiple of 3
negative_passages.docid: 80744
negative_passages.text: What is the number of strings at size $n$ that is constructed from ${a,b,c,d}$ and there is an even num of $a$