Prove the number of subsets with no consecutive integers within a set
65978
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?
34452
In how many ways can you choose $k$ numbers out of $\{1,2,3,\dots,n\}$ so none of them is consecutive?
58103
number of permutations in which no two consecutive numbers are adjacent
127069
Discrete Math - Counting
72440
Partition a set into $k$ non-empty subsets
134921
Find the number of all subsets of $\{1, 2, \ldots,2015\}$ with $n$ elements such that the sum of the elements in the subset is divisible by 5
103717
Topological Property of the Set of Integers
151935
Proving the predicate $\forall n \in \mathbb{N} , n \geq 2$ using the Pigeonhole principle
64052
Among any three consecutive positive integers one is a multiple of 3
153072
Guessing a subset of $\{1,...,N\}$
5215
Can the principle of inclusion/exclusion be used to count elements in the intersection of a sequence of sets?
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
85817
Show that in any set of $2n$ integers, there is a subset of $n$ integers whose sum is divisible by $n$.
108563
Detecting consecutive integers in a list
23427
How to prove there are no more positive integers that are products of 2 and 3 consecutive numbers?
51617
What is the proof that the total number of subsets of a set is $2^n$?
11967
number of subsets of even and odd