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

Five friends are dealt two cards each from a set of twelve cards. The cards are numbered 1 to 12 inclusive. In turn, the friends declare the sum of the values of their two cards. Paolo scores 4, Quinn scores 11, Romy scores 16, Stephen scores 19 and Thomas scores 20. Which of the following statements is true?

(A) Paolo has card 2 (B) Quinn has card 3 (C) Romy has card 5 (D) Stephen has card 7 (E) Thomas has card 11

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