Difference between revisions of "1978 AHSME Problems/Problem 16"

Line 10: Line 10:
\textbf{(E) }\text{none of these}  </math>   
\textbf{(E) }\text{none of these}  </math>   
[[1978 AHSME Problems/Problem 16|Solution]]

Revision as of 14:15, 18 June 2021

1978 AHSME Problems/Problem 16


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?

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


Invalid username
Login to AoPS