Solve the problem.
-Within a group of $n$ people, the number of possible handshakes, $N$, is given by $\mathrm{N}=\frac{1}{2}\left(\mathrm{n}^{2}-\mathrm{n}\right)$. How many handshakes are possible at a meeting if 30 people are present?
A) 420
B) 870
C) 435
D) 465

Question

Quizplus · Accepted Answer

The formula for the number of handshakes is $N = \frac{1}{2}(n^2 - n)$. Substituting $n = 30$, we get $N = \frac{1}{2}(30^2 - 30) = \frac{1}{2}(900 - 30) = \frac{1}{2}(870) = 435$.

Solve the Problem nnn People, the Number of Possible Handshakes NNN , Is Given By

Solve the Problem $n$ People, the Number of Possible Handshakes $N$ , Is Given By