30 teams participated in the football tournament . At the end of the competition it turned out that in Any group of three teams it is possible to single out two teams which score equal point in three games. within this group (3 points are given for the victory, 1 point for the draw , 0 point for the defeat ). what is the least possible number of draws that can occur in such a tournament ? please help me. Please help .. thanks.


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Question Number 7165 by Tawakalitu. last updated on 15/Aug/16

$30 t e a m s p a r t i c i p a t e d i n t h e f o o t b a l l t o u r n a m e n t . A t t h e$ $e n d o f t h e c o m p e t i t i o n i t t u r n e d o u t t h a t i n$ $A n y g r o u p o f t h r e e t e a m s i t i s p o s s i b l e t o s i n g l e o u t t w o$ $t e a m s w h i c h s c o r e e q u a l p o i n t i n t h r e e g a m e s .$ $w i t h i n t h i s g r o u p (3 p o i n t s a r e g i v e n f o r t h e v i c t o r y,$ $1 p o i n t f o r t h e d r a w, 0 p o i n t f o r t h e d e f e a t) .$ $w h a t i s t h e l e a s t p o s s i b l e n u m b e r o f d r a w s t h a t c a n o c c u r$ $i n s u c h a t o u r n a m e n t ?$ $p l e a s e h e l p m e .$ $P l e a s e h e l p . . t h a n k s .$
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