Tuesday, November 9, 2010
21st All Soviet Union Mathematical Olympiad Problems 1987
1. Ten players play in a tournament. Each pair plays one match, which results in a win or loss. If the ith player wins ai matches and loses bi matches, show that ∑ ai2 = ∑ bi2. 2. Find all sets of 6 weights such that for each of n = 1, 2, 3, ... , 63, there is a subset of weights weighing n. 3. ABCDEFG is a regular 7-gon. Prove that 1/AB = 1/AC + 1/AD. 4.
Subscribe to:
Post Comments (Atom)
Popular Posts
-
Boxhead The Zombie Wars Infomation: Fight an army of zombies using awesome new weapons How to play: WADS Keys to move. Space to shoot. Z to ...
-
The left margin of this blog is entitled " Internet Integration in the Classroom " and it is composed of a number of great educati... -
Burnout Dominator is a car game available with the video games. It is well supported for Playstation 2 and the Playstation portable. No game...
No comments:
Post a Comment
Note: Only a member of this blog may post a comment.