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2024 AMC 8 Problems/Problem 7

Revision as of 13:09, 22 January 2024 by B1022 (talk | contribs) (→‎Problem)

Problem

A person is playing one turn in a card-based game. They can play Card A for 1 point, Card B for 2 points, and Card C for 3 points. If order of the cards doesn't matter, how many possible ways are there to play one turn with 20 points considering that that there is an unlimited amount of each card?

$\textbf{(A) } 21 \qquad \textbf{(B) } 37 \qquad \textbf{(C) } 43 \qquad \textbf{(D) } 44 \qquad \textbf{(E) } 259$

Solution 1

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