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Problems
Contests
National and Regional Contests
China Contests
(China) National High School Mathematics League
2011 China Second Round Olympiad
1
Set
Set
Source:
January 30, 2012
Problem Statement
Let the set
A
=
(
a
1
,
a
2
,
a
3
,
a
4
)
A=(a_{1},a_{2},a_{3},a_{4})
A
=
(
a
1
,
a
2
,
a
3
,
a
4
)
. If the sum of elements in every 3-element subset of
A
A
A
makes up the set
B
=
(
−
1
,
5
,
3
,
8
)
B=(-1,5,3,8)
B
=
(
−
1
,
5
,
3
,
8
)
, then find the set
A
A
A
.
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