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Statement 1: A Finite automata can be represented graphically; Statement 2: The nodes can be its states; Statement 3: The edges or arcs can be used for transitionsHint: Nodes and Edges are for trees and forests too.Which of the following make the correct combination?

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Statement 1: A Finite automata can be represented graphically; Statement 2: The nodes can be its states; Statement 3: The edges or arcs can be used for transitionsHint: Nodes and Edges are for trees and forests too.Which of the following make the correct combination?

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Solution

The correct combination is Statement 1, Statement 2, and Statement 3. This is because a finite automaton (FA) is a mathematical model of computation used in theoretical computer science. It can indeed be represented graphically, where the nodes represent its states and the edges or arcs represent the transitions between these states. The hint is referring to the fact that nodes and edges are also used in the graphical representation of trees and forests in data structures, but this does not contradict the use of nodes and edges in the representation of a finite automaton.

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