(424) 1

Part of 1994 Tournament Of Towns

Problems(1)

TOT 424 1994 Autumn A J1 nuts are placed in boxes

Source:

Nuts are placed in boxes. The mean value of the number of nuts in a box is

10

, and the mean value of the squares of the numbers of nuts in the boxes is less than

1000

. Prove that at least

10\%

of the boxes are not empty.
(AY Belov)

algebracombinatorics