MathDB

(155) 6

Part of 1987 Tournament Of Towns

Problems(1)

TOT 155 1987 Autumn J6 2000 apples in several baskets

Source:

4/19/2020
There are 20002000 apples , contained in several baskets. One can remove baskets and /or remove apples from the baskets. Prove that it is possible to then have an equal number of apples in each of the remaining baskets, with the total number of apples being not less than 100100 .
(A. Razborov)
combinatorics