A project consists of 15 members. How many communication channels or paths exist?

To determine the number of communication channels in a project with a certain number of members, we can use the formula for combinations. The formula to find the number of communication channels (C) for ‘n’ members is given by:

C = n(n – 1) / 2

In this case, ‘n’ is 15. Let’s substitute the value:

C = 15(15 – 1) / 2

This simplifies to:

C = 15(14) / 2

C = 210 / 2

C = 105

Therefore, with 15 members, there are 105 communication channels or paths that exist. Thus, the correct answer is c) 105.