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Lesechka [4]
3 years ago
7

If the Internet consisted of four computers, there would be six possible connections. If it consisted of five computers, there w

ould be ten possible connections. How many connections are possible with ten computers?
Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0

Answer:

<em>45 possible connections</em>

<em />

Step-by-step explanation:

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

\frac{n*(n - 1)}{2}

where n is the number of computers on the network.

for 4 computers, we'll have

\frac{4*(4 - 1)}{2} = \frac{4*3}{2} = 6

for 5 computers, we'll have

\frac{5*(5 - 1)}{2} = \frac{5*4}{2} = 10.

therefore, for 10 computers, we will have

\frac{10*(10 - 1)}{2} = \frac{10*9}{2} = <em>45 possible connections</em>

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