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(d) Consider the issue of scalability in distributed systems. A distributed system has N components and each component interacts with approximately half of the other

(d) Consider the issue of scalability in distributed systems. A distributed system has N components and each component interacts with approximately half of the other components in the system.

(i) What is the level of interaction complexity in such system?

(ii) What is the formula for calculating the number of separate interactions that occur?

(iii) How many separate interactions occur if there are 20 components in the system? [3 marks]

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