According to the PMBOK® Guide (Project Communications Management), specifically within the Plan Communications Management process, the number of potential communication channels is a key indicator of the complexity of a project ' s communications.
The formula used to calculate the number of potential communication channels is:
$$Total\ Channels = \frac{n(n - 1)}{2}$$
Where $n$ represents the number of stakeholders.
Step-by-Step Calculation for 5 Stakeholders:
Identify the number of stakeholders: $n = 5$
Plug the value into the formula: $\frac{5(5 - 1)}{2}$
Subtract 1 from the number of stakeholders: $5 \times 4 = 20$
Divide by 2: $20 / 2 = 10$
Therefore, a project with 5 stakeholders has 10 potential communication channels.
Key Insight: This calculation is vital for project managers because it demonstrates how communication complexity grows exponentially as more stakeholders are added. For example, adding just one more stakeholder (moving from 5 to 6) increases the channels from 10 to 15. Managing these channels effectively is essential to ensure that the right information reaches the right people at the right time.
Analysis of Distractors:
B, C, and D: These values do not align with the mathematical result of the communication channels formula ($n(n-1)/2$). Option C (20) represents the numerator of the formula ($5 \times 4$) before dividing by 2.
