Final answer:
The increase in communication channels when a project team expands from three to six people is 12.
Step-by-step explanation:
When a project team goes from three people to six, the number of communication channels increases. Communication channels can be calculated using the formula n(n-1)/2, where n represents the number of people in the team.
So, when the team size increases from 3 to 6, the number of communication channels increases to 6(6-1)/2 = 15.
Therefore, the answer is d. 12.
The question concerns the number of communication channels in a project team when the size of the team increases from three members to six. The formula to calculate the number of communication channels in a team is given by the combination formula n(n - 1) / 2, where n is the number of team members. For three members, the channels are:
3(3 - 1) / 2 = 3.
For six members, the channels are:
6(6 - 1) / 2 = 15.
The increase in channels is the difference between the two, which is 15 - 3 = 12.