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Putnam
1976 Putnam
5
Putnam 1976 B5
Putnam 1976 B5
Source:
April 20, 2022
college contests
Problem Statement
Evaluate
∑
k
=
0
n
(
−
1
)
k
(
n
k
)
(
x
−
k
)
n
.
\sum_{k=0}^n (-1)^k \binom{n}{k} (x-k)^n.
k
=
0
∑
n
(
−
1
)
k
(
k
n
)
(
x
−
k
)
n
.
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