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Communication

Communication Channels

N = n(n − 1) / 2

This formula counts how many separate two-way conversation paths exist among a group of people. A "stakeholder" is simply anyone involved in or affected by your project — team members, your boss, customers, and so on. The letter "n" stands for the number of these people. A "communication channel" is one direct link between any two of them, like a phone line connecting two houses.

To calculate it, you take the number of people (n), multiply that by one less than the number of people (n − 1), and then divide the result by 2. You divide by 2 because a conversation between Anna and Ben is the same channel as one between Ben and Anna — you don't want to count it twice.

Reading the result is easy: a bigger number means more communication paths, which means more complexity and more chances for messages to get lost, confused, or delayed. A project manager uses this to appreciate just how quickly communication gets complicated as a team grows — even adding one person adds several new channels. It's a gentle reminder to plan your communication carefully rather than assume everyone will just "stay in the loop."

💡 Think of it like…

Think of it like people at a dinner party clinking glasses in a toast. With a few guests it's easy, but every new person must clink with everyone already there, so the number of clinks grows much faster than the number of guests.

✏️ Worked example

Imagine your project starts with 5 people. Using the formula: N = 5 × (5 − 1) / 2 = 5 × 4 / 2 = 20 / 2 = 10 channels. Now two more people join, making 7. Recalculate: N = 7 × (7 − 1) / 2 = 7 × 6 / 2 = 42 / 2 = 21 channels. Notice that adding just 2 people more than doubled the number of communication paths, jumping from 10 to 21. That's why keeping everyone informed gets harder fast as a team grows.

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