Number of Disjoint Unions
Result
We call two sets $A$, $B$
disjoint or
non-overlapping
if $A \cap B = \varnothing$.
Suppose $A$ and $B$ are disjoint finite sets.
Then $\num{A \cup B} = \num{A} + \num{B}$
This is often called the
addition principle or the
rule of sum.