Let $S=\{1,2,3,\ldots, 2n\}.$ If $P\subseteq S$ such that $x,y\in P \rightarrow x\nmid y$ and $y \nmid x$ then what is the maximum cardinality of $P$
32754
Each number in a subset $S\subseteq \{1,\ldots,2n\}$ does not divide another one. Then $\max |S|$?
65764
Partitioning $\{1,2,\ldots,k\}$ into $p$ subsets with equal sums, where $p$ is prime
111954
Computing the cardinality of a combinatorial set
147484
For a set with N members, what is the number of set partitions in which each subset is either of size 1 or 2?
121366
Intervals and cardinality
12436
The cardinality of the set of all finite subsets of an infinite set
9651
Cardinality of cartesian product of an infinite set with N
31318
Cardinality of cartesian square
3273
Trouble in proving that $\|x\|_p = \max|x_j|$
86902
Consider the smallest number in each of the $n\choose r$ subsets (of size $r$) of $S=\{1,2,\ldots,n\}$...
146098
Number of nonempty subsets of a set with $n$ elements
142267
If two sets have the same cardinality, then so do their power sets. Converse can't be answered?
39880
Cardinality of Orderings of $\mathbb{R}$
20478
Mathematical expression for $n$ largest values in a set
149382
Prove that $(0,1) \subseteq\mathbb R$ and $(4,10) \subseteq\mathbb R$ have the same cardinality.
45216
Cardinality of $[0,1]$
102972
Cardinality of $\mathbb{R}^\mathbb{R}$ by diagonal argument