ITGSS Certified Technology Specialist

To understand the increase in communication paths when project team members increase from six to ten, it's essential to consider the formula for calculating the number of communication paths in a project team. The formula is given by: \[ \text{Paths} = \frac{n(n-1)}{2} \] where \( n \) is the number of team members. Initially, with six team members: \[ \text{Paths for 6 members} = \frac{6(6-1)}{2} = \frac{6 \times 5}{2} = 15 \] Now, with ten team members: \[ \text{Paths for 10 members} = \frac{10(10-1)}{2} = \frac{10 \times 9}{2} = 45 \] To find the increase in communication paths, we subtract the initial number of paths from the latter: \[ \text{Increase} = 45 - 15 = 30 \] Now, to determine how many times the communication paths were increased, we consider the ratio of the new number of paths to the old number: \[ \text{Ratio} = \frac{45}{15} = 3 \]