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2008 PUMaC Combinatorics A4 / B6
Source:
October 4, 2019
combinatorics
Problem Statement
Find the sum of the values of
x
x
x
for which
(
x
0
)
−
(
x
1
)
+
(
x
2
)
−
.
.
.
+
(
x
2008
)
=
0
\binom{x}{0}-\binom{x}{1}+\binom{x}{2}-...+\binom{x}{2008}=0
(
0
x
)
−
(
1
x
)
+
(
2
x
)
−
...
+
(
2008
x
)
=
0
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