MathDB
TOT 506 1996 Autumn J O3 .... 10 girls and 9 boys

Source:

August 16, 2024
combinatorics

Problem Statement

(a) Can it happen that in a group of 1010 girls and 99 boys, ball the girls know a different number of boys while all the boys know the same number of girls?
(b) What if there are 1111 girls and 1010 boys?
(NB Vassiliev)