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Regional Mathematical Olympiad
2003 India Regional Mathematical Olympiad
2
Gint and c
Gint and c
Source: Indian RMO 2003 Problem 2
October 27, 2005
induction
Problem Statement
If
n
n
n
is an integer greater than
7
7
7
, prove that
(
n
7
)
−
[
n
7
]
{n \choose 7} - \left[ \frac{n}{7} \right]
(
7
n
)
−
[
7
n
]
is divisible by
7
7
7
.
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