Difference between revisions of "1978 AHSME Problems/Problem 16"
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==Problem== | ==Problem== | ||
| + | In a room containing <math>N</math> people, <math>N > 3</math>, 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? | ||
| + | |||
| + | <math>\textbf{(A) }0\qquad | ||
| + | \textbf{(B) }1\qquad | ||
| + | \textbf{(C) }N-1\qquad | ||
| + | \textbf{(D) }N\qquad | ||
| + | \textbf{(E) }\text{none of these} </math> | ||
| + | |||
| + | [[1978 AHSME Problems/Problem 16|Solution]] | ||
Revision as of 13:15, 18 June 2021
1978 AHSME Problems/Problem 16
Problem
In a room containing 
people, 
, 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?
