PK0-003 · 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 question asks to determine the number of stakeholders given the total number of communication lines in a project. The number of stakeholders can be calculated using the formula for communication channels.
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
(17 responses)- A6% (1)
- B18% (3)
- C71% (12)
- D6% (1)
Why each option
The question asks to determine the number of stakeholders given the total number of communication lines in a project. The number of stakeholders can be calculated using the formula for communication channels.
If there were 5 stakeholders, the lines of communication would be 5 * (5 - 1) / 2 = 10, which does not match the given 45 lines.
If there were 9 stakeholders, the lines of communication would be 9 * (9 - 1) / 2 = 36, which does not match the given 45 lines.
The formula for calculating the lines of communication among stakeholders is N * (N - 1) / 2, where N represents the number of stakeholders. Given 45 lines of communication, solving the equation N * (N - 1) / 2 = 45 leads to N * (N - 1) = 90. The number 10 satisfies this equation, as 10 * (10 - 1) = 10 * 9 = 90, meaning there are 10 stakeholders.
If there were 15 stakeholders, the lines of communication would be 15 * (15 - 1) / 2 = 105, which does not match the given 45 lines.
Concept tested: Project communication channels calculation
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