Answer:
45 possible connections
Step-by-step explanation:
The general equation for finding the possible number of connections in a network is given as
[tex]\frac{n*(n - 1)}{2}[/tex]
where n is the number of computers on the network.
for 4 computers, we'll have
[tex]\frac{4*(4 - 1)}{2}[/tex] = [tex]\frac{4*3}{2}[/tex] = 6
for 5 computers, we'll have
[tex]\frac{5*(5 - 1)}{2}[/tex] = [tex]\frac{5*4}{2}[/tex] = 10.
therefore, for 10 computers, we will have
[tex]\frac{10*(10 - 1)}{2}[/tex] = [tex]\frac{10*9}{2}[/tex] = 45 possible connections