A two-person team has single line of communication;a three-person team will have three lines of communication;a four-person team will have six lines of communication.A team with n members will have:
A)n! (n factorial)lines of communication
B)n2 (n squared)lines of communication
C)((n * (n-1))/ n)lines of communication
D)((n * (n-1))/ 2)lines of communication
E)(n2 / n!)(n squared divided by n factorial)lines of communication

Question

Quizplus · Accepted Answer

The formula for the number of lines of communication in a team of n members is (n * (n-1))/2. This formula takes into account that each pair of individuals only needs one line of communication, so we have to divide the total number of possible pairs by 2 to account for duplicate lines. Option D is the only one that matches this formula, so it is the correct answer.

A Two-Person Team Has Single Line of Communication;a Three-Person Team