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2004 AIME Problems
7
Aime 2004 #7 - coefficient in expansion
Aime 2004 #7 - coefficient in expansion
Source:
July 31, 2005
AMC
AIME
Problem Statement
Let
C
C
C
be the coefficient of
x
2
x^2
x
2
in the expansion of the product
(
1
−
x
)
(
1
+
2
x
)
(
1
−
3
x
)
⋯
(
1
+
14
x
)
(
1
−
15
x
)
.
(1 - x)(1 + 2x)(1 - 3x)\cdots(1 + 14x)(1 - 15x).
(
1
−
x
)
(
1
+
2
x
)
(
1
−
3
x
)
⋯
(
1
+
14
x
)
(
1
−
15
x
)
.
Find
∣
C
∣
|C|
∣
C
∣
.
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