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

Question Number 153458 by liberty last updated on 07/Sep/21

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}, \dots, \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, \dots, 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 .