A mail truck must deliver packages to 5 different homes (A, B, C, ...

[BrownTown3]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

How many different Hamilton circuits would we have to check if we use the brute-force algorithm? (Do not count the same circuit traveled backward.)
◦ 60
◦ 4
◦ 30
◦ 12
◦ none of these

[mbcrismon]

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[future617RT]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

How many different Hamilton circuits would we have to check if we use the brute-force algorithm? (Do not count the same circuit traveled backward.)
◦ 60
◦ 12
◦ 30
◦ 4
◦ none of these

[dantucker]

12

[brutforce]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

The nearest-neighbor tour starting with vertex A is given by:
◦ A, E, C, D, B, A.
◦ A, C, D, B, E, A.
◦ A, B, C, D, E, A.
◦ A, D, B, E, C, A.
◦ none of these

[AngeliqueG]

A, C, D, B, E, A.

[cookcarl]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

The nearest-neighbor tour starting with vertex A is given by:
◦ A, D, B, E, C, A.
◦ A, B, C, D, E, A.
◦ A, E, C, D, B, A.
◦ A, C, D, B, E, A.
◦ none of these

[mohan]

A, C, D, B, E, A.

[neverstopbelieb]

A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and end at A. The graph below shows the distances (in miles) between locations. We want to minimize the total distance traveled.

The repetitive nearest-neighbor tour starting with vertex A is given by:
◦ A, C, D, B, E, A.
◦ A, B, C, D, E, A.
◦ A, E, C, D, B, A.
◦ A, D, B, E, C, A.
◦ none of these

[eliasc0401]

A, E, C, D, B, A.