QuestionHow many handshakes occur when 4 people shake hands once? Generalize for $n$ people.

Studdy Solution
Notice that $(n-2)!$ appears in both the numerator and the denominator, so we can cancel it out.
$$C(n,2) = \frac{n \times (n-1)}{2}$$So, for $n$ people, there will be $\frac{n \times (n-1)}{2}$ handshakes.