On a Complete Graph with N Vertices, There Are N!/2

question 32

Multiple Choice

On a complete graph with n vertices, there are n!/2 Hamilton circuits starting at a given vertex, not counting reverse routes. If a traveling salesman wanted to make deliveries to nine cities in a region, how many possible routes would he have to check to find the shortest one?

• A)2520
• B)20,160
• C)181,440
• D)1,814,400

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Definitions:

Transformational Leadership

A leadership style focused on inspiring and motivating team members to exceed their own interests for the good of the group or organization.

Positive Results

Outcomes of actions or decisions that are beneficial or desired.

Socialized Charismatic Leader

A leader who exhibits charismatic qualities and uses their influence for the collective good, fostering positive and ethical behaviors.

Power

The ability or capacity to direct or influence the behavior of others or the course of events.