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When is set A equal to set B in mathematics?
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Two sets are equal if they have the exact same elements. Thus, $A=B$ if and only if $A \subset B$ and $B \subset A .$

For example, $\{1,2,3\}=\{3,2,1\}$, and $\{a, a, b\}=\{a, b\} .$ The set with no elements, i.e., $\emptyset=\{\}$ is the null set or the empty set. For any set $A, \emptyset \subset A$.
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