Library / /115 of 121

, 2021

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

Five girls ran a race. Fiona started first, followed by Gertrude, then Hannah, then India and lastly Janice. Whenever a girl overtook another girl, she was awarded a point. India was first to finish, then Gertrude, then Fiona, then Janice and lastly Hannah. What is the lowest total number of points that could have been awarded?

(A) $9$ (B) $8$ (C) $7$ (D) $6$ (E) $5$

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.