# 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 $$X = \{ 1, \, 2 \}$$ $$\wp(X) = \{ \emptyset, \, \{ 1 \}, \, \{ 2 \}, \, X \}$$