CBAP · Question #94
You are the business analyst for a large project for your organization. Your project has 65 stakeholders and this will greatly increase the complexity of the communication in this project. To demonstr
The correct answer is A. 2080. The number of unique communication channels among stakeholders is calculated with the formula n(n-1)/2; for 65 stakeholders, this yields 2080 channels.
Question
You are the business analyst for a large project for your organization. Your project has 65 stakeholders and this will greatly increase the complexity of the communication in this project. To demonstrate how complex this project and its communication will be, you show the management the number of communication channels in this project. How many channels exist in this project based on the number of stakeholders?
Options
- A2080
- B4160
- C65
- D4225
How the community answered
(58 responses)- A71% (41)
- B5% (3)
- C14% (8)
- D10% (6)
Why each option
The number of unique communication channels among stakeholders is calculated with the formula n(n-1)/2; for 65 stakeholders, this yields 2080 channels.
Applying the formula n(n-1)/2 with n=65 gives 65 x 64 / 2 = 2080. This formula counts every unique pair of stakeholders who may need to communicate, illustrating how communication complexity grows exponentially as stakeholder count increases.
4160 results from computing 65 x 64 without dividing by 2, which double-counts every communication pair and overstates the number of unique channels.
65 is simply the total number of stakeholders and does not represent any communication channel count between them.
4225 equals 65 squared (65 x 65), which incorrectly includes self-communication for each stakeholder and double-counts all bidirectional pairs.
Concept tested: Communication channels formula n(n-1)/2 for stakeholders
Source: https://www.pmi.org/pmbok-guide-standards/foundational/pmbok
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