Maths Olympiad Prep

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Combinatorics Difficulty 1.0 Junior Find the answer United Kingdom

Aaron has to choose a three-digit code for his bike lock. The digits can be chosen from 1 to 9. To help him remember them, Aaron chooses three different digits in increasing order, for example 278. How many such codes can be chosen?

(A) 779779 (B) 504504 (C) 168168 (D) 8484 (E) 99

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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.