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A travel salesman needs lives in city A. He needs to travel to cities B, C,...

A travel salesman needs lives in city A. He needs to travel to cities B, C, D and E for work and then get back home.

A) If the cities are all connected by airlines, how many different air travel plans could be constructed to visit each city exactly once and return home?

B) Suppose all cities are connected, except cities C and E are not directly connnected. How many different air travel plans could be constructed to visit each city exactly once and return home?

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