Given a set consisting of 22 integer A={±a_1 ,±a_2 ,...,±a_(11) }. Show that exist subset of S with properties (1) for every i=1,2,3,...,11 have least one between a_i or −a_i element of S (2)the sum all possible numbers in S divisible by 2015


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Question Number 153458 by liberty last updated on 07/Sep/21
$Given a set consisting of 22 integer A={±a_1 ,±a_2 ,...,±a_(11) }. Show that exist subset of S with properties (1) for every i=1,2,3,...,11 have least one between a_i or −a_i element of S (2)the sum all possible numbers in S divisible by 2015$
$G i v e n a s e t c o n s i s t i n g o f 22 i n t e g e r$ $A = {\pm a_{1}, \pm a_{2}, . . ., \pm a_{11}} . S h o w t h a t$ $e x i s t s u b s e t o f S w i t h p r o p e r t i e s$ $(1) f o r e v e r y i = 1, 2, 3, . . ., 11$ $h a v e l e a s t o n e b e t w e e n a_{i} o r - a_{i}$ $e l e m e n t o f S$ $(2) t h e s u m a l l p o s s i b l e n u m b e r s$ $i n S d i v i s i b l e b y 2015$
Commented by talminator2856791 last updated on 07/Sep/21

$please phrase the question better .$
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