query: Creating a $6$-integer subset without repetition with no consecutive integers from $\{1,2,\dots,20\}$
positive_passages.docid: 22977
positive_passages.text: How many $6$-integer subsets of $\{1, 2, 3, \ldots, 20\}$ have no consecutive integers?
negative_passages.docid: 42706
negative_passages.text: How many $N$ digits binary numbers can be formed where $0$ is not repeated
negative_passages.docid: 100565
negative_passages.text: Property of sup of a set of numbers
negative_passages.docid: 146098
negative_passages.text: Number of nonempty subsets of a set with $n$ elements
negative_passages.docid: 47060
negative_passages.text: Split $n$ into nontrivial factors via a nontrivial square-root of $1\!\pmod{\!n}$
negative_passages.docid: 148776
negative_passages.text: A different approach in distributing $8$ distinct balls into $6$ distinct boxes
negative_passages.docid: 124890
negative_passages.text: Divisibility within a block of natural numbers
negative_passages.docid: 28496
negative_passages.text: Generating the partitions of a number
negative_passages.docid: 95287
negative_passages.text: Generating a list of numbers that are not multiples of 4
negative_passages.docid: 30136
negative_passages.text: Proof that a Combination is an integer
negative_passages.docid: 36486
negative_passages.text: Finding the total number of set-bits from 1 to n
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: 109920
negative_passages.text: Ordered binary sequences of length n with no two consecutive 0's without using recursion
negative_passages.docid: 108563
negative_passages.text: Detecting consecutive integers in a list
negative_passages.docid: 139935
negative_passages.text: Show that any set of 7 distinct integers includes two integers $x$ and $y$, such that either $x-y$ or $x+y$ is divisible by 10
negative_passages.docid: 15002
negative_passages.text: Unique (non-repeating) random numbers in O(1)?
negative_passages.docid: 37331
negative_passages.text: Prove that every set with more than one element has a permutation without fixed points