Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2017-part-02 — 176 problems (EN–VI) Question 38

Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)

Question 38

In an organization there are three committees. Each person belongs to exactly one committee. For any two persons belonging to different committees, in the third committee there are exactly $10$ people that both persons know and exactly $10$ people that both persons do not know. All acquaintances are mutual. How many people are there in all three committees?
(Russia 2008)