CAYLEY 2004 Problem 20

An archery target has 3 regions, each worth a different value if it is hit. Three archers shoot two arrows each and record scores as follows:

First archer: 1 arrow in C and 1 arrow in A for a score of 15 points
Second archer: 1 arrow in C and 1 arrow in B for a score of 18 points
Third archer: 1 arrow in B and 1 arrow in A for a score of 13 points

If a fourth archer shoots 2 arrows into ring B, her score is

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Answer Choices
A. 10
B. 14
C. 16
D. 18
E. 20