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If a graph has 8 vertices and 12 edges, then the degree of each vertex in the graph is:a.3b.6c.12d.10

Question

If a graph has 8 vertices and 12 edges, then the degree of each vertex in the graph is:a.3b.6c.12d.10

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Solution

To find the degree of each vertex in the graph, we can use the Handshaking Lemma. The Handshaking Lemma states that the sum of the degrees of all the vertices in a graph is equal to twice the number of edges.

In this case, we are given that the graph has 8 vertices and 12 edges. According to the Handshaking Lemma, the sum of the degrees of all the vertices is 2 times the number of edges, which is 2 * 12 = 24.

Since the graph has 8 vertices, the average degree of each vertex would be 24 / 8 = 3. Therefore, the degree of each vertex in the graph is 3.

So, the correct answer is (a) 3.

This problem has been solved

Similar Questions

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