I'll cover the where-these-might-apply part. Here's an example of both, in a game scenario. Suppose, there's a game which has different types of soldiers. Each soldier can have a knapsack which can hold different things.
Inheritance here?
There's a marine, green beret & a sniper. These are types of soldiers. So, there's a base class Soldier with Marine, Green Beret & Sniper as derived classes
Aggregation here?
The knapsack can contain grenades, guns (different types), knife, medikit, etc. A soldier can be equipped with any of these at any given point in time, plus he can also have a bulletproof vest which acts as armor when attacked and his injury decreases to a certain percentage. The soldier class contains an object of bulletproof vest class and the knapsack class which contains references to these items.
