MathDB
Problems
Contests
National and Regional Contests
Turkey Contests
Turkey Team Selection Test
2019 Turkey Team SeIection Test
1
1
Part of
2019 Turkey Team SeIection Test
Problems
(1)
Picking stones from boxes in appropriate ways
Source: Turkey TST 2019 Day 1 P1
3/26/2019
In each one of the given
2019
2019
2019
boxes, there are
2019
2019
2019
stones numbered as
1
,
2
,
.
.
.
,
2019
1,2,...,2019
1
,
2
,
...
,
2019
with total mass of
1
1
1
kilogram. In all situations satisfying these conditions, if one can pick stones from different boxes with different numbers, with total mass of at least 1 kilogram, in
k
k
k
different ways, what is the maximal of
k
k
k
?
combinatorics