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Teams Math Contest Pigeonhole

1425ApprenticePigeonhole PrincipleCombinatorics

AMC 10B · 2010 · Problem 17

Every high school in the city of Euclid sent a team of $3$ students to a math contest. Each participant in the contest received a different score. Andrea's score was the median among all students, and hers was the highest score on her team. Andrea's teammates Beth and Carla placed $37$th and $64$th, respectively. How many schools are in the city?

Answer choices

A
22
B
23
C
24
D
25
E
26
0 students attempted0% solvedRating 1425

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