What is the number of subgames in a game whose game tree, Game Theory

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What is the number of subgames in a game whose game tree

(a) What is the number of subgames in a game with perfect information whose game tree has eight vertices?

(b) What is the number of subgames in a game whose game tree has eight vertices and one information set, which contains two vertices (with all other information sets containing only one vertex)?

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Game Theory: What is the number of subgames in a game whose game tree

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