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UKMT Pink Kangaroo, 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) $5$

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