Question

A scientist wants to research the potential spread of germs by contact. she knows that the number of possible handshakes within a group of n people is given by the equation upper n equals one half left parenthesis n squared minus n right parenthesis . there are 105 people at a party. how many handshakes are​ possible?

Answer 1

Given that the number of possible handshakes within a group of n people is given by the equation:

$N= \frac{1}{2} (n^2-n)$

Given that there are 105 people at a party, the number of possible handshakes is given by:

$N= \frac{1}{2} (105^2-105) \\ \\ = \frac{1}{2} (11025-105)=10920$