Number of subsets of a set $S$ of n elements , is $2^n$
44214
The number of subsets of a set of cardinality $n$
31969
Partition of N into infinite number of infinite disjoint sets?
35362
Number of equivalence relations on a set
113668
Uncountable chain of subsets of $\mathbb N$
22154
Show that given a set of positive n integers, there exists a non-empty subset whose sum is divisible by n
17703
$S$ be a collection of subsets of $\{1,...,100\}$ ; any two sets in $S$ has non-empty intersection , what is the maximum possible value of $|S|$?
95747
Number of countable subsets of $\mathbb{R}$
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
1409
Proving that the given set has at most $2^{n-1}$ elements
136306
Let $A$ be a finite set and let $B$ be a subset of $A$ with $|A|=n$,$|B|=m$ and $0<m<n$. Count the subsets of $A$ containing $ B.$
47123
Suppose that a set has an odd number of elements. Explain why half of the subsets will have an odd number of elements
127123
Cardinality of power set and binary sequence
2900
How many $3$-subsets of $\{1,2,\ldots,10\}$ contain at least one even and one odd integer?
45485
Dimension of a subset
10472
Is every set a subset?
102510
Count number of subsets of 3 elements either disjoint or whose intersection is a singleton
26569
Counting binary operations on a set with $n$ elements