(e) Explain in words the relationship between the number of participants and the number of handshakes? (1) ​

(e) Explain in words the relationship between the number of participants and the number of handshakes? (1) ​

Answer:

[tex]\mathrm{\frac{n(n-1)}{2}}[/tex]

Step-by-step explanation:

[tex]\mathrm{The\ formula\ for\ the\ number\ of\ handshakes\ possible\ among\ n\ participants\ is:}\\ \mathrm{ \frac{n(n-1)}{2}}\\\mathrm{It's\ because\ each\ of\ the\ n\ participants\ may\ shake\ hands\ with\ n-1\ people}\mathrm{(they}\\\mathrm{cannot\ shake\ their\ own\ hands)\ and\ the\ handshake\ between\ two\ people\ is\ not}\\ \mathrm{counted\ twice.}[/tex]

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