What is the difference between association, aggregation, and composition? Please explain in terms of implementation.
I know this question is tagged as C# but the concepts are pretty generic questions like this redirect here. So I am going to provide my point of view here (a bit biased from java point of view where I am more comfortable).
When we think of Object-oriented nature we always think of Objects, class (objects blueprints) and the relationship between them. Objects are related and interact with each other via methods. In other words the object of one class may use services/methods provided by the object of another class. This kind of relationship is termed as association..
Aggregation and Composition are subsets of association meaning they are specific cases of association.

Confused?
Composition Example : Consider the example of a Car and an engine that is very specific to that car (meaning it cannot be used in any other car). This type of relationship between Car and SpecificEngine class is called Composition. An object of the Car class cannot exist without an object of SpecificEngine class and object of SpecificEngine has no significance without Car class. To put in simple words Car class solely "owns" the SpecificEngine class.
Aggregation Example : Now consider class Car and class Wheel. Car needs a Wheel object to function. Meaning the Car object owns the Wheel object but we cannot say the Wheel object has no significance without the Car Object. It can very well be used in a Bike, Truck or different Cars Object.
Summing it up -
To sum it up association is a very generic term used to represent when a class uses the functionalities provided by another class. We say it's composition if one parent class object owns another child class object and that child class object cannot meaningfully exist without the parent class object. If it can then it is called Aggregation.
More details here. I am the author of http://opensourceforgeeks.blogspot.in and have added a link above to the relevant post for more context.