A small social network contains four people who are network friends with six other people in the network, one person who is network friends with five other people in the network, and five people who are network friends with four other people in the network. The rest are network friends with three other people in the network. The network contains 50 pairs of network friends. (a) How many people are network friends with three other people in the network? (b) How many people are in the network?

Question

Mathematics

Jason Fox

3 June, 12:33

A small social network contains four people who are network friends with six other people in the network, one person who is network friends with five other people in the network, and five people who are network friends with four other people in the network. The rest are network friends with three other people in the network. The network contains 50 pairs of network friends. (a) How many people are network friends with three other people in the network? (b) How many people are in the network?

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Natasha · Answer 1

a) 2 people

b) 20 people

Step-by-step explanation:

a) The social network contains four people networking with six other people, altogether there are ten people netwoking together.

So, if one person in one social network, network with five others in the network, but when it is paired, we have eight altogether in the first case.

When the other case are paired, it is discovered that, the remaining pair is left with two people networking with three other people.

b) Altogether, when it is paired in each case, the following summation provides the number of people that network with each other:

First case = 1 + 5 + 2 = 8

Second case = 5 + 4 + 3 = 12

Altogether it is 20 people