Final answer:
The increase in communication channels when a team grows from three to six members is calculated by subtracting the original number of channels (3) from the new number (15), resulting in 12 additional channels.
Step-by-step explanation:
The subject of this question is related to communication channels within a project management context, specifically from the field of Mathematics, where it involves combinatorial concepts.
When a project team increases in size, the communication channels increase because each member can potentially communicate with all other members, excluding themselves. The formula to calculate the number of communication channels is n(n - 1) / 2, where n is the number of team members. Initially, with three people, we would have 3(3 - 1) / 2 which is 3 channels. With six people, it would be 6(6 - 1) / 2 which equals 15 channels.
To find the increase in the number of communication channels when the team size goes from three to six, we subtract the initial number of channels from the final number, so 15 minus 3 equals 12. Therefore, the correct answer is d. 12 more communication channels.