Maths Olympiad Prep

Library / UKMT Mathematical Olympiad for Girls /1 of 31

UKMT Mathematical Olympiad for Girls, 2014

Combinatorics Difficulty 1.0 Junior Prove it United Kingdom

Some strings of three letters have the property that all three letters are the same; for example, LLL is such a string.

How many strings of three letters do not have all three letters the same?

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.
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: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.