2025-03-01 14:26:36 +01:00

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# Definition
$\wp(X)$ of $X$ consists of all the subsets of $X$.
## Amount of Elements in a Power Set
Lets say we have $|X|$:
$$|X| = |\{ 1, \, \dots, \, n \}|$$
The $\wp(X)$ would have $2^{n}$ elements in the set.
# Example
$$X = \{ 1, \, 2 \}$$
$$\wp(X) = \{ \emptyset, \, \{ 1 \}, \, \{ 2 \}, \, X \}$$