Maths Olympiad Prep

Library / /22 of 60

, 2010

Combinatorics Difficulty 4.0 AIME Find the answer United Kingdom

Isaac attempts all six questions on an Olympiad paper in order. Each question is marked on a scale from 00 to 1010. He never scores more in a later question than in any earlier question. How many different possible sequences of six marks can he achieve?

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; question papers published free at bmos.ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.