Question: 1: Ho many k-vertex paths does the graph Kn hav? 2: Ho many k-vertex paths does the graph Kn1,n2 hav? 3: If G = (V,

1: Ho many k-vertex paths does the graph Kn hav?

2: Ho many k-vertex paths does the graph Kn1,n2 hav?

3: If G = (V, E) is a graph with |V| = n, how many induced subgraphs does G hav?

4: How many spanning subgraphs of Kn1,n2 hav exactly m edges?

5: Let G = (V, E) be a graph with m edges. Ho many spanning subgraphs of G hav exactly k edges?

6:Ho many walks in Kn hav length r?

7:. Ho many walks in Kn1,n2 hav length r?

8 Ho many edges are in Kn?

9: Ho many edges are in Kn1,n2 ?

10: Ho many subgraphs of Kn are isomorphic to Kt?

11: Ho many subgraphs of Kn1,n2 are isomorphic to K3,4?

12: Let K-4 be the graph obtained from K4 by deleting an edge. Ho many subgraphs of Kn are isomorphic to K-4 ?

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