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All-Russian Olympiad Regional Round
1999 All-Russian Olympiad Regional Round
8.5
8.5
Part of
1999 All-Russian Olympiad Regional Round
Problems
(1)
cannot divide 1-15 in 2 groups - All-Russian MO 1999 Regional (R4) 8.5
Source:
9/25/2024
Prove that the numbers from
1
1
1
to
15
15
15
cannot be divided into two groups:
A
A
A
of
2
2
2
numbers and
B
B
B
of
13
13
13
numbers such that the sum of the numbers in group
B
B
B
is equal to product of numbers in group
A
A
A
.
number theory
algebra