Cardinality of a powerset $P(M)$ and $N := \{g | g: M \to \{0, 1\}\}$
127123
Cardinality of power set and binary sequence
79568
Cardinality of the set $D$
142631
Show that A has the same cardinality as $A\setminus\{x,y,z\}$
32081
The dual version of trichotomy of cardinality without AC
127233
Cardinality of order types in $\mathbb{N}$
64193
Cardinality of Infinite Symmetric group
114262
Find the cardinality of the following set $S_n=\{(x,y)|x^2+y^2=n, \text{where }x,y,n \in \mathbb Z\text{ and }n\geq0 \}$
87830
Relating the union of the power set of a set to the set itself
85099
How many subsets of $\mathbb{N}$ have the same cardinality as $\mathbb{N}$?
18634
Combinations of sets raised to the power of a prime modulus: $\binom{p^{\alpha}-1}k \equiv (-1)^k \pmod p$
109054
Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
103732
Proving that for $n \equiv 0 \pmod{2}$, we get ${n \choose 0} < {n \choose 1} <\ldots< {n \choose n/2-1}<{n\choose n/2}$ etc.
21663
Bijection between power sets of sets implies bijection between sets?
57221
counting the number of elements in a conjugacy class of $S_n$
122947
What is the cardinality of the set of infinite cardinalities?
110662
Show that $P(\mathbb{N})$ is equivalent to $2^\mathbb{N}$
124333
A bijection between $\mathbb{N}$ and $\mathbb{P}(\mathbb{N})$?