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National and Regional Contests
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PEN A Problems
118
A 118
A 118
Source:
May 25, 2007
function
Divisibility Theory
Problem Statement
Determine the highest power of
1980
1980
1980
which divides
(
1980
n
)
!
(
n
!
)
1980
.
\frac{(1980n)!}{(n!)^{1980}}.
(
n
!
)
1980
(
1980
n
)!
.
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