What is the number of stakeholders, if the project has 28 potential communication channels?

The correct answer is B. 8. Option B (8 stakeholders) is correct because the communication channels formula is n(n-1)/2, where n is the number of stakeholders. Solving for n: 28 = n(n-1)/2 → 56 = n(n-1) → n² - n - 56 = 0 → (n-8)(n+7) = 0 → n = 8. You can verify: 8×7/2 = 28. Why the distractors are wrong…

Communication Management

Question

Options

How the community answered

(29 responses)

A
10% (3)
B
79% (23)
C
3% (1)
D
7% (2)

Explanation

Option B (8 stakeholders) is correct because the communication channels formula is n(n-1)/2, where n is the number of stakeholders. Solving for n: 28 = n(n-1)/2 → 56 = n(n-1) → n² - n - 56 = 0 → (n-8)(n+7) = 0 → n = 8. You can verify: 8×7/2 = 28.

Why the distractors are wrong:

A (7): 7×6/2 = 21 channels, not 28.
C (14): 14×13/2 = 91 channels - far too many.
D (16): 16×15/2 = 120 channels - even further off.

Memory tip: Remember the formula as "n choose 2" - every pair of stakeholders = one channel. When given channels and asked for stakeholders, double the channel count and find two consecutive integers that multiply to that number (56 = 8×7), then take the larger one.

Topics

#communication channels formula#stakeholder calculation#n(n-1)/2#quantitative analysis

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