MathDB
Problems
Contests
International Contests
Tournament Of Towns
1993 Tournament Of Towns
(359) 2
(359) 2
Part of
1993 Tournament Of Towns
Problems
(1)
TOT 359 1993 Spring O J2 cats and dogs , two houses with 2 flats each
Source:
6/10/2024
Each of two houses
A
A
A
and
B
B
B
is divided into two flats. Several cats and dogs live there. It is known that the fraction of cats in the first flat of
A
A
A
(the ratio between the number of cats and the total number of animals in the flat) is greater than the fraction of cats in the first flat of
B
B
B
, and the fraction of cats in the second flat of
A
A
A
is greater than the fraction of cats in the second flat of
B
B
B
. Is it true that the fraction of cats in house
A
A
A
is greater than the fraction of cats in house
B
B
B
? (AK Kovaldji)
combinatorics