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2013 PUMaC Combinatorics A3
2013 PUMaC Combinatorics A3
Source:
November 23, 2013
Problem Statement
How many tuples of integers
(
a
0
,
a
1
,
a
2
,
a
3
,
a
4
)
(a_0,a_1,a_2,a_3,a_4)
(
a
0
,
a
1
,
a
2
,
a
3
,
a
4
)
are there, with
1
≤
a
i
≤
5
1\leq a_i\leq 5
1
≤
a
i
≤
5
for each
i
i
i
, so that
a
0
<
a
1
>
a
2
<
a
3
>
a
4
a_0<a_1>a_2<a_3>a_4
a
0
<
a
1
>
a
2
<
a
3
>
a
4
?
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