Suppose that a computer science laboratory has 15 workstations and 10 servers. A cable can be
used to directly connect a workstation to a server. For each server, only one direct connection to
that server can be active at any time. We want to guarantee that at any time any set of 10 or fewer
workstations can simultaneously access different servers via direct connections. Although we
could do this by connecting every workstation directly to every server (using 150 connections),
what is the minimum number of direct connections needed to achieve this goal?
