MathDB
Problems
Contests
National and Regional Contests
Russia Contests
All-Russian Olympiad
1968 All Soviet Union Mathematical Olympiad
097
097
Part of
1968 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 097 All Soviet Union MO 1968 students and languages
Source:
6/20/2019
Some students on the faculty speak several languages and some - Russian only.
50
50
50
of them know English,
50
50
50
-- French and
50
50
50
-- Spanish. Prove that it is possible to divide them onto
5
5
5
groups, not necessary equal, to get
10
10
10
of them knowing English,
10
10
10
-- French and
10
10
10
-- Spanish in each group.
combinatorics