Question

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☺

What is power set and subset??

✌ dOn'T dArE tO sPaM ✌ ​

Answer 1

$\huge\red{\mathtt{Power\: Set}}$

➠ The power set is a set which includes all the subsets including the empty set and the original set itself.

★ If set A = {x,y,z} is a set, then all its subsets {x}, {y}, {z}, {x,y}, {y,z}, {x,z}, {x,y,z} and {} are the elements of powerset, such as:

Power set of A, P(A) = {x}, {y}, {z}, {x,y}, {y,z}, {x,z}, {x,y,z} and {}

• Where P(A) denotes the powerset.

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$\huge\red{\mathtt{Subset}}$

➠ A collection of elements is known as a subset of all the elements of the set are contained inside another set.

★ If set A has {X, Y} and set B has {X, Y, Z}, then A is the subset of B because elements of A are also present in set B.

• A subset is denoted by the symbol ⊆ .

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Answer 2

Step-by-step explanation:

In mathematics, the power set (or powerset) of any set S is the set of all subsets of S, including the empty set and S itself, variously denoted as P(S), (S), ℘(S) (using the "Weierstrass p"), P(S), ℙ(S), or, identifying the powerset of S with the set of all functions from S to a given set of two elements, 2S.

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