PK0-004 · Question #249
A project has 45 lines of communication. Which of the following shows how many stakeholders does the project have?
The correct answer is C. 10. The number of communication channels is calculated using the formula n(n-1)/2, where n is the number of stakeholders; solving for n when channels equal 45 gives 10.
Question
A project has 45 lines of communication. Which of the following shows how many stakeholders does the project have?
Options
- A5
- B9
- C10
- D15
How the community answered
(21 responses)- A5% (1)
- B14% (3)
- C76% (16)
- D5% (1)
Why each option
The number of communication channels is calculated using the formula n(n-1)/2, where n is the number of stakeholders; solving for n when channels equal 45 gives 10.
Substituting n = 5 into the formula yields 5(4)/2 = 10 lines of communication, not 45.
Substituting n = 9 into the formula yields 9(8)/2 = 36 lines of communication, not 45.
Applying the lines of communication formula n(n-1)/2 = 45 yields n(n-1) = 90. Only n = 10 satisfies this because 10 x 9 = 90, confirming 10 stakeholders. This formula is a core project communications management concept used to illustrate how complexity scales with team size.
Substituting n = 15 into the formula yields 15(14)/2 = 105 lines of communication, not 45.
Concept tested: Lines of communication formula with stakeholder count
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