The cardinality of the power set with $N$ elements is equal to $2^N$
44214
The number of subsets of a set of cardinality $n$
130093
Prove by Induction : $n < 2^n$
71650
Proving by strong induction for a sequence of integers, $2^n$ divides term $n$
84198
Step in Proof of Cardinality of Product of two Groups
9651
Cardinality of cartesian product of an infinite set with N
87830
Relating the union of the power set of a set to the set itself
96845
Question: Compare the cardinality between the sets $\Bbb R$ and $\Bbb N^{\Bbb N}$
72402
Summation of natural number set with power of $m$
35043
Cardinality of a set A is strictly less than the cardinality of the power set of A
36612
Strange set notation (a set as a power of 2)?
28223
Prove/Disprove that if two sets have the same power set then they are the same set
144735
Possible cardinality of power sets
86421
Proof of the definition of cardinal exponentiation
75373
Show that $2^n>n$ for $n\in \mathbb{N}$
92784
Intuitive (combinatorial) proof of $2^n=\sum_{k=0}^n {n\choose k}$
158671
Cardinality of a set that consists of all existing cardinalities
48523
Let $A$ be any uncountable set, and let $B$ be a countable subset of $A$. Prove that the cardinality of $A = A - B $