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Problem 413

Combinatorics Difficulty 2.0 Find the answer UKMT Pink Kangaroo · United Kingdom · 2016

A tennis tournament was played on a knock-out basis. The following list is of all but one of the last seven matches (the quarter-finals, the semi-finals and the final), although not correctly ordered: Bella beat Ann; Celine beat Donna; Gina beat Holly; Gina beat Celine; Celine beat Bella; and Emma beat Farah. Which result is missing?

(A) Gina beat Bella (B) Celine beat Ann (C) Emma beat Celine (D) Bella beat Holly (E) Gina beat Emma

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