Not Easy to Cross Bridges!

Probability Level pending

In the following diagram, let A , B , C , D , E A,B,C,D,E and F F represent islands and the lines connecting them bridges. A man begins at A A and walks from island to island. He stops for lunch when he cannot continue to walk without crossing the same bridge twice. If m m denotes the number of ways he can take his walk and n n denotes the possible location of his first lunch, what is the value of m m and n n ?

m = 10 , n = 4 m=10, n=4 m = 11 , n = 3 m=11, n=3 m = 11 , n = 4 m=11, n=4 m = 10 , n = 3 m=10, n=3

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