Final answer:
Deadlock can never occur in a system where the maximum needs of each process do not exceed the available resources and the sum of all maximum needs is less than the sum of the number of processes and resources.
Step-by-step explanation:
In the scenario where 'm' processes share 'n' resources of the same type, and each process has a maximum need that does not exceed 'n', plus the sum of all their maximum needs is always less than 'm' + 'n', deadlock can never occur. This is because the condition for deadlock includes that the processes must be holding resources while waiting for additional ones that can't be allocated. However, because their maximum needs do not exceed the number of resources and their combined needs are less than the total number of processes plus resources, there is a guarantee that each process can obtain the resources it requires without waiting indefinitely for other processes to release resources. Essentially, by ensuring that the total number of resources is sufficient to satisfy the maximum demand of all processes concurrently, we avoid a deadlock situation in the system.