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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.

Business Analysis Planning and Monitoring

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)
  • A
    71% (41)
  • B
    5% (3)
  • C
    14% (8)
  • D
    10% (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.

A2080Correct

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.

B4160

4160 results from computing 65 x 64 without dividing by 2, which double-counts every communication pair and overstates the number of unique channels.

C65

65 is simply the total number of stakeholders and does not represent any communication channel count between them.

D4225

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

Topics

#communication channels formula#stakeholder complexity#communication planning#N(N-1)/2

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