Consider a factory for the following situation:

1. There are 3 "families", referred to as A, B, and C, of products.

2. A client requires a single product, referred to as P,
of a given family.  Product P contains, as members, 3 other products,
referred to as P1, P2 and P3, of its own family.

Design a factory and sketch its code for the situation presented above.

1. Using Java and/or pseudo-code show the classes and/or interfaces of
the factory, families, products etc. that play a significant role in
the design.  

2. In each class or interface include any relevant methods and any
call to these methods.

3. Show a fragment of code that constructs an instance of P for family A.

Hint: Don't code all 3 families.  Code only one and tell what changes
in another family.  Don't code all 3 products.  Code only one and tell
what changes in another product.