Power Set

The idea of a set is to collect objects, but what if we turn the collection itself into an object? The power set does exactly that — it is the set of all possible subsets of a given set. For any set $A$, its power set is denoted by $\mathcal{P}(A)$, and it includes every combination you can pick from $A$, from the empty set all the way up to $A$ itself. This concept is surprisingly powerful because it reveals how many different "choices" a set can off …