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2024 JHMT HS
6
Median is an Element
Median is an Element
Source:
September 7, 2024
combinatorics
2024
Problem Statement
Compute the number of nonempty subsets
S
S
S
of
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
\{ 1,2,3,4,5,6,7,8,9,10 \}
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
}
such that the median of
S
S
S
is an element of
S
S
S
.
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