How many subsets of {1, 2, 3, ... 10} do not contain any pair of consecutive integers?
102136
How many subsets contain no consecutive elements?
98313
Number of possible permutations of n1 1's, n2 2's, n3 3's, n4 4's such that no two adjacent elements are same?
75852
Using Pigeonhole Principle to prove two numbers in a subset of $[2n]$ divide each other
32754
Each number in a subset $S\subseteq \{1,\ldots,2n\}$ does not divide another one. Then $\max |S|$?
8645
A formula for bit strings with no $k$ consecutive $1$'s using generating functions
108563
Detecting consecutive integers in a list
26569
Counting binary operations on a set with $n$ elements
139935
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
22977
How many $6$-integer subsets of $\{1, 2, 3, \ldots, 20\}$ have no consecutive integers?
52043
Number of binary numbers with two consecutive zeros
91485
Finding an uncountable chain of subsets the integers
47960
Given any $10$ consecutive positive integers , does there exist one integer which is relatively prime to the product of the rest ?
82207
Number of Pairs of Subsets
568
Consider a set $A$ of $10$ integers, $A = \{a_1,a_2, \ldots ,a_{10}\}$. Prove that there is at least one subset of $A$ whose sum is divisible by $10$.
24446
Prove that for each $n$, there exist $n$ consecutive integers, each of which is divisible by a perfect square larger than $1$.
68882
Path to Combinatorics Problem [$1.11$]
89989
A set of integers whose elements all divide $2015^{200}$ but do not divide each other