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Problem 681

AMC 10/12, early questions

Combinatorics Difficulty 3.0 Find the answer UKMT Senior Mathematical Challenge · United Kingdom · 2023

In Bethany's class of 30 students, twice as many people played basketball as played football. Twice as many played football as played neither. Which of the following options could have been the number of people who played both?

(A) $19$ (B) $14$ (C) $9$ (D) $5$ (E) $0$

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