MathDB
Problems
Contests
National and Regional Contests
India Contests
Regional Mathematical Olympiad
1998 India Regional Mathematical Olympiad
6
6
Part of
1998 India Regional Mathematical Olympiad
Problems
(1)
A set
Source: Indian RMO 1998 Problem 6
10/26/2005
Given the
7
7
7
-element set
A
=
{
a
,
b
,
c
,
d
,
e
,
f
,
g
}
A = \{ a ,b,c,d,e,f,g \}
A
=
{
a
,
b
,
c
,
d
,
e
,
f
,
g
}
, find a collection
T
T
T
of
3
3
3
-element subsets of
A
A
A
such that each pair of elements from
A
A
A
occurs exactly once on one of the subsets of
T
T
T
.
symmetry