It is based on set theory. Here I wan to know that how can I derive the modulus of P(A) is equal to 2ⁿ.
4776
Prove that the power set of an $n$-element set contains $2^n$ elements
25187
Why $∀x(P(x)→Q)$ is equivalent to $∃xP(x)→Q$
144693
Show that if $B \subseteq C$, then $\mathcal{P}(B) \subseteq \mathcal{P}(C)$
31503
Question about Maximum Modulus Principle applied to $|f|+|g|$
79165
How to show that $P(A\cup B) = P(A) + P(B) - P(A\cap B)$
6119
If both $P$ and $Q$ are true , how can I tell that $P$ implies $Q$?
55023
if $A$ subset of $B$ then $P(B)-P(A)=P(B\setminus A)\ge 0$
54791
Is it true or false that $\lvert P([0, 1]) \setminus P((0, 1)) \rvert > \lvert P(\mathbb{N}) \rvert$
93410
How to prove ~ (~P & ~Q) : P ∨ Q by natural deduction
29204
$a\equiv\bar a\!\pmod{\!kn}\Rightarrow a\equiv\bar a\!\pmod{\! n};\ $ $(a\bmod kn)\bmod n=a\bmod n.\ $ Congruences persist mod factors of the modulus
114346
Why is $a^{-1}$ mod $p$ equal to $a^{p-2}$ mod $p$?
110464
Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$
36612
Strange set notation (a set as a power of 2)?
67394
How to interpret $\mathbb{P}(B|A)$ when $\mathbb{P}(A) = 0$
64320
Prove that if $0<a<Pr(A)$ then there exists $B\subset A$ such that $Pr(B)=a$
73221
How can I form a bijection between $\mathcal P(A)$ and $2^A$.
122326
Proving $|P(A\cap B)-P(A)P(B)|\leq \frac{1}4$