Library / /102 of 176

, 2001

Combinatorics Difficulty 3.0 AMC 10/12 Prove it Canada

Four teams, $A$ , $B$ , $C$ , and $D$ , competed in a field hockey tournament. Three coaches predicted who would win the Gold, Silver and Bronze medals: Coach 1 predicted Gold for A, Silver for B, and Bronze for C, Coach 2 predicted Gold for B, Silver for C, and Bronze for D, Coach 3 predicted Gold for C, Silver for A, and Bronze for D. Each coach predicted exactly one medal winner correctly. Complete the table in the answer booklet to show which team won which medal.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.