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Problems
Contests
National and Regional Contests
Netherlands Contests
Dutch Mathematical Olympiad
1977 Dutch Mathematical Olympiad
3
3
Part of
1977 Dutch Mathematical Olympiad
Problems
(1)
number of integers whose sum is a multiple of $7
Source: Netherlands - Dutch NMO 1977 p3
1/28/2023
From each set
{
a
1
,
a
2
,
.
.
.
,
a
7
}
⊂
Z
\{a_1,a_2,...,a_7\} \subset Z
{
a
1
,
a
2
,
...
,
a
7
}
⊂
Z
one can choose a number of elements whose sum is a multiple of
7
7
7
.
number theory
divides
divisible
multiple