Solve.
-Within a group of n people, the number of possible handshakes, N, is given byby $N = \frac { 1 } { 2 } \left( n ^ { 2 } - n \right)$ n). How many handshakes are possible at a meeting if 18 people are present?
A)306 handshakes
B)144 handshakes
C)153 handshakes
D)171 handshakes

Question

Quizplus · Accepted Answer

The formula for the number of handshakes is $N = \frac{1}{2}(n^2 - n)$. Plugging in n = 18, we get $N = \frac{1}{2}(18^2 - 18) = \frac{1}{2}(324 - 18) = \frac{1}{2}(306) = 153$.

Solve -Within a Group of N People, the Number of Possible

Solve
-Within a Group of N People, the Number of Possible