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 10 people are present?
A) 40
B) 90
C) 45
D) 55

Question

Quizplus · Accepted Answer

The formula for the number of possible handshakes among $n$ people is $\mathrm{N}=\frac{1}{2}\left(\mathrm{n}^{2}-\mathrm{n}\right)$. Substituting $n=10$, we get $\mathrm{N}=\frac{1}{2}\left(10^{2}-10\right) = \frac{1}{2}(100-10) = \frac{1}{2}(90) = 45$.

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