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MathLinks Contest 5th
2.2
2.2
Part of
MathLinks Contest 5th
Problems
(1)
0522 combo geo 5th edition Round 2 p2
Source:
5/6/2021
Suppose that
{
D
n
}
n
≥
1
\{D_n\}_{n\ge 1}
{
D
n
}
n
≥
1
is an finite sequence of disks in the plane whose total area is less than
1
1
1
. Prove that it is possible to rearrange the disks so that they are disjoint from each other and all contained inside a disk of area
4
4
4
.
combinatorics
5th edition