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National and Regional Contests
Switzerland Contests
Switzerland Team Selection Test
1999 Switzerland Team Selection Test
2
2
Part of
1999 Switzerland Team Selection Test
Problems
(1)
{1,2,...,33} partitioned into 11 three-element sets
Source: Switzerland - Swiss TST 1999 p2
2/19/2020
Can the set
{
1
,
2
,
.
.
.
,
33
}
\{1,2,...,33\}
{
1
,
2
,
...
,
33
}
be partitioned into
11
11
11
three-element sets, in each of which one element equals the sum of the other two?
partition
Subsets
Sum
combinatorics