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10
BMT 2021 Guts Round p10
BMT 2021 Guts Round p10
Source:
October 7, 2022
combinatorics
algebra
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
max
S
+
min
S
2
\frac{\max \,\, S + \min \,\,S}{2}
2
m
a
x
S
+
m
i
n
S
is an element of
S
S
S
.
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