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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?

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

[tex]N= \frac{1}{2} (n^2-n)[/tex]

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

[tex]N= \frac{1}{2} (105^2-105) \\ \\ = \frac{1}{2} (11025-105)=10920[/tex]

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