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2008 PUMaC Combinatorics A3 / B5
Source:
October 4, 2019
combinatorics
Problem Statement
Evaluate
∑
m
=
0
2009
∑
n
=
0
m
(
2009
m
)
(
m
n
)
\sum_{m=0}^{2009}\sum_{n=0}^{m}\binom{2009}{m}\binom{m}{n}
∑
m
=
0
2009
∑
n
=
0
m
(
m
2009
)
(
n
m
)
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