“In a great reunion each person knows at least two different persons in there”. Show that this statement implies that exists one person who has to know everyone.


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Question Number 6464 by nburiburu last updated on 27/Jun/16

$‘ ‘ I n a g r e a t r e u n i o n e a c h p e r s o n k n o w s$ $a t l e a s t t w o d i f f e r e n t p e r s o n s i n {t h e r e}^{″} . S h o w$ $t h a t t h i s s t a t e m e n t i m p l i e s t h a t e x i s t s$ $o n e p e r s o n w h o h a s t o k n o w e v e r y o n e .$
Commented by prakash jain last updated on 27/Jun/16

$1 knows 2 3$ $2 knows 3 4$ $and so on$ $n knows 1 2$ $everyone knows 2 persons and noone knows$ $everyone .$ $Did i misunderstand the question ?$
Commented by nburiburu last updated on 28/Jun/16

$B e c a r e f u l :$ $i f 2 k n o w s 3 4 a n d 1 k n o w s 2 3 t h e n$ $2 a l s o k n o w s 1 .$ $S o t h e r e l a t i o n s h i p i s i n t w o w a y s .$ $A l s o, i f y o u s e l e c t a n y s u b g r o u p o f$ $t w o p e r s o n s y o u s h o u l d h a v e t o s e e i n$ $e a c h p e r s o n 2 r e l a t i o n s e x t e r n a l t o$ $t h e s u b g r o u p m a d e .$
Commented by prakash jain last updated on 28/Jun/16

$Thanks . I understand the question now .$
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