Finding a function such a partition of a set contains $x$, $y$, $x+y$ for some two elements
60349
Schur's theorem and numbers
6679
Counting number of subsets which contain a specific element
90559
Partitioning of a graph
71990
Prove there always exists a partition such that vertices in each part have even degree
107614
Partitioning an infinite set
103538
Partitions of $n$ into distinct odd and even parts proof
142978
combinatorics: sum of product of integer compositions
106397
Counting ways to partition a set into fixed number of subsets
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
142886
Find set with maximal cardinality given constraints
60007
Partitions with at most k parts, each of at most l
39090
Finding functions such that $f(g(x)) = f(x)g(x)$
5222
$\lfloor x\rfloor + \lfloor y\rfloor \leq \lfloor x+y\rfloor$ for every pair of numbers of $x$ and $y$
1627
Cartesian product of an arbitrary number of sets
146098
Number of nonempty subsets of a set with $n$ elements
128716
Intuitive/direct proof that a rectangle partitioned into rectangles each with at least one integer side must itself have an integer side
26569
Counting binary operations on a set with $n$ elements