Question

If the Internet consisted of four computers, there would be six possible connections. If it consisted of five computers, there would be ten possible connections. How many connections are possible with ten computers?

Answer 1

45 possible connections

Explanation:

The general equation for finding the possible number of connections in a network is given as

`(n*(n - 1))/(2)`

where n is the number of computers on the network.

for 4 computers, we'll have

`(4*(4 - 1))/(2)` =
`(4*3)/(2)` = 6

for 5 computers, we'll have

`(5*(5 - 1))/(2)` =
`(5*4)/(2)` = 10.

therefore, for 10 computers, we will have

`(10*(10 - 1))/(2)` =
`(10*9)/(2)` = 45 possible connections