Cardinality of a set of subsets with given max cardinality
135694
Proving $\kappa^{\lambda} = |\{X: X \subseteq \kappa, |X|=\lambda\}|$
6679
Counting number of subsets which contain a specific element
1409
Proving that the given set has at most $2^{n-1}$ elements
142583
Subsets of the Cantor set
147013
Subset of a finite set is finite
146204
Subsets sharing at most $i$ elements
146436
Cardinality of the set of bijective functions on $\mathbb{N}$?
106397
Counting ways to partition a set into fixed number of subsets
146098
Number of nonempty subsets of a set with $n$ elements
45448
Minimum number of $k$-partitions of a set of size $n$ to enumerate all $n \choose k$ combinations
136069
Is there a simple formula for the cardinality of $\{A\subseteq\kappa\mid |A|\leq\lambda\}$ when $\lambda\leq\kappa$?
121097
Every not empty finite subset of a totally ordered set has a maximum and minimum
16553
Cardinality of the set of all total orders on $\Bbb{N}$
43979
The total number of subsets is $2^n$ for $n$ elements
86902
Consider the smallest number in each of the $n\choose r$ subsets (of size $r$) of $S=\{1,2,\ldots,n\}$...
132605
Finding the number of subsets of a set such that an element divides the succeeding element.
48523
Let $A$ be any uncountable set, and let $B$ be a countable subset of $A$. Prove that the cardinality of $A = A - B $