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?


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Question Number 125460 by john_santu last updated on 11/Dec/20

$I n a r o o m c o n t a i n i n g N p e o p l e$ $N > 3, a t l e a s t o n e p e r s o n h a s n o t$ $s h a k e n h a n d s w i t h e v e r y o n e$ $e l s e i n t h e r o o m . W h a t i s t h e$ $m a x i m u m n u m b e r o f p e o p l e$ $i n t h e r o o m t h a t c o u l d h a v e$ $s h a k e n h a n d s w i t h e v e r y o n e$ $e l s e ?$
	Answered by liberty last updated on 11/Dec/20

	$N - 2$
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