1978 AHSME Problems/Problem 16

Revision as of 13:15, 18 June 2021 by Aopspandy (talk | contribs) (Problem)

1978 AHSME Problems/Problem 16

Problem

In a room containing $N$ people, $N > 3$, at least one person has not shaken hands with everyone else in the room. What is the maximum number of people in the room that could have shaken hands with everyone else?

$\textbf{(A) }0\qquad \textbf{(B) }1\qquad \textbf{(C) }N-1\qquad \textbf{(D) }N\qquad  \textbf{(E) }\text{none of these}$

Solution