The sum rule: If you can do task A in m ways OR task B in n ways, and the tasks don't overlap, you can do either task in m + n ways.
Example: You can travel by car (5 routes) or by train (3 routes). Total ways to travel: 5 + 3 = 8.
The key word is OR. When choices are mutually exclusive (you pick one OR the other, never both), you add.