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Problem 2. Consider a graph G = (V,E) where |V|=n. 2(a) What is the total number...

Problem 2. Consider a graph G = (V,E) where |V|=n.

2(a) What is the total number of possible paths of length k ≥ 0 in G from a given starting vertex s and ending vertex t? Hint: a path of length k is a sequence of k + 1 vertices without duplicates.

2(b) What is the total number of possible paths of any length in G from a given starting vertex s and ending vertex t?

2(c) What is the total number of possible cycles of any length in G from a given starting vertex s?

Please write very clearly :)

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