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Let G be a collection of n + 3 labeled nodes for n 3. n of these connect to form a cycle. 2 of the

Let G be a collection of n + 3 labeled nodes for n 3. n of these connect to form a cycle. 2 of the nodes are connected to one node u and the last node is connected to another node v such that u does not equal v. How many different labeled graphs are there?

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