A two-way network linking five users creates how many potential network connections?
A) 5
B) 10
C) 20
D) 30

Question

Quizplus · Accepted Answer

A two-way network means that each user can connect to four other users. Therefore, we need to use the combination formula, which is nCr = n! / r!(n-r)! where n is the total number of users and r is the number of users that can connect to each other. In this case, n=5 and r=2 (since we want to connect two users at a time). Thus, 5C2 = 5! / 2!(5-2)! = 10. However, we also need to account for the fact that each connection can be made in two directions (e.g. user A can connect with user B, and user B can connect with user A). Therefore, we need to multiply 10 by 2, giving us a total of 20 potential network connections. Therefore, the correct answer is C.

A Two-Way Network Linking Five Users Creates How Many Potential