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2019 BMT Spring
Tie 3
2019 BMT Discrete Tiebreakers 3
2019 BMT Discrete Tiebreakers 3
Source:
January 6, 2022
combinatorics
Problem Statement
Let
{
a
,
b
,
c
,
d
,
e
,
f
,
g
,
h
}
\{a, b, c, d, e, f, g, h\}
{
a
,
b
,
c
,
d
,
e
,
f
,
g
,
h
}
be a permutation of
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
}
\{1, 2, 3, 4, 5, 6, 7, 8\}
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
}
. What is the probability that
a
b
c
‾
+
d
e
f
‾
\overline{abc} +\overline{def}
ab
c
+
d
e
f
is even?
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