Problem

2021 AMC 10B Problem 17

Ravon, Oscar, Aditi, Tyrone, and Kim play a card game. Each person is given 2 cards out of a set of 10 cards numbered 1,2,3, \ldots,10. The score of a player is the sum of the numbers of their cards. The scores of the players are as follows: Ravon--11, Oscar--4, Aditi--7, Tyrone--16, Kim--17. Which of the following statements is true?

\textbf{(A) }\text{Ravon was given card 3.}

\textbf{(B) }\text{Aditi was given card 3.}

\textbf{(C) }\text{Ravon was given card 4.}

\textbf{(D) }\text{Aditi was given card 4.}

\textbf{(E) }\text{Tyrone was given card 7.}


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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Problem Tags: Counting and probability Game theory

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