a$)$ Discuss the various inputs and outputs involved in the software system design process.

b$)$ Explain the concepts of coupling and cohesion in software design and discuss why they are often seen as conflicting issues.

c$)$ Identify the most suitable system architecture style for each of the following system requirements, and justify your choice:

System $1$: Availability is a critical requirement.

System $2$: The system needs to handle and share a large volume of data.

$3.$System $3$: The system requirements are frequently changing, and security is a high priority for a specific group of related functional requirements.

d$)$ Use an example to illustrate the difference between "extend" and "include" use case relations.

e$)$ Determine the best association relation between the classes "house" and "kitchen" in a house planning software system and justify your reasoning.

f$)$ Create a UML use case diagram for a Bank ATM subsystem. Additionally, provide a detailed UML class diagram that addresses all the requirements, including classes, class members, associations, and multiplicities.