query: Combinatorics with vowels and consonants
positive_passages.docid: 157621
positive_passages.text: Combinatorics involving picking a specific amount of consonants without repeat and vowels (can repeat)
negative_passages.docid: 61602
negative_passages.text: Binary strings (words) proof
negative_passages.docid: 8645
negative_passages.text: A formula for bit strings with no $k$ consecutive $1$'s using generating functions
negative_passages.docid: 32508
negative_passages.text: how many ways can the letters in ARRANGEMENT can be arranged
negative_passages.docid: 76725
negative_passages.text: Finding all length-n words on an alphabet that have a specified number of each letter
negative_passages.docid: 82872
negative_passages.text: Combinatorial proof involving partitions and generating functions
negative_passages.docid: 96585
negative_passages.text: Sums and permutation
negative_passages.docid: 115209
negative_passages.text: Elementary formula for permutations?
negative_passages.docid: 71759
negative_passages.text: How many different permutations are there of the sequence of letters in "MISSISSIPPI"?
negative_passages.docid: 39872
negative_passages.text: Good Book On Combinatorics
negative_passages.docid: 73575
negative_passages.text: Number of pairs of strings satisfying the given condition
negative_passages.docid: 131863
negative_passages.text: Permutation question on alphabets
negative_passages.docid: 74839
negative_passages.text: Catalan numbers: bijection between applications of a binary operator and Dyck words.
negative_passages.docid: 24212
negative_passages.text: proving how many permutations exist.
negative_passages.docid: 85023
negative_passages.text: Permutation of n objects with restriction of adjacent pairs
negative_passages.docid: 134938
negative_passages.text: Committee combinatorics
negative_passages.docid: 42062
negative_passages.text: Interpretation of a combinatorial expression