query: Combinatorics question about choosing non consecutive integers
positive_passages.docid: 24091
positive_passages.text: How many ways can $r$ nonconsecutive integers be chosen from the first $n$ integers?
negative_passages.docid: 134938
negative_passages.text: Committee combinatorics
negative_passages.docid: 39872
negative_passages.text: Good Book On Combinatorics
negative_passages.docid: 76405
negative_passages.text: Let n be an even integer. How many different ways can I choose subsets of the set {1,2...,n}
negative_passages.docid: 148703
negative_passages.text: Permutations with repeating digits
negative_passages.docid: 41205
negative_passages.text: Help me solve a combinatorial problem
negative_passages.docid: 52043
negative_passages.text: Number of binary numbers with two consecutive zeros
negative_passages.docid: 65978
negative_passages.text: How many subsets does the set $\{1, 2, \dots , n\}$ have that contain no two consecutive integers if $1$ and $n$ also count as consecutive?
negative_passages.docid: 48850
negative_passages.text: Consecutive composite numbers
negative_passages.docid: 47799
negative_passages.text: Show that the number or $r$ combinations of $X$ which contain no consecutive integers is given by $\binom{n-r+1}{r}$
negative_passages.docid: 72052
negative_passages.text: Combinatorics the number of options for $k$ different balls in n different cells, with at least $1$ ball in each cell
negative_passages.docid: 9411
negative_passages.text: Number of permutations of $n$ elements where no number $i$ is in position $i$
negative_passages.docid: 107964
negative_passages.text: Simple combinatorics problem.
negative_passages.docid: 2137
negative_passages.text: Find the number of ways to express 1050 as sum of consecutive integers
negative_passages.docid: 132526
negative_passages.text: I'm trying to find the longest consecutive set of composite numbers
negative_passages.docid: 8771
negative_passages.text: Finding the nth non square free number
negative_passages.docid: 88356
negative_passages.text: Number of options to distribute $N$ different balls to $K$ numbered cells