At a school with 100 students, 35 students were taking Arabic, 32 Bulgarian, and 30 Chinese. Twenty students take only Arabic, 20 take only Bulgarian, and 14 take only Chinese. In addition, 7 students are taking both Arabic and Bulgarian, some of whom also take Chinese. How many students are taking all three languages? None of these three languages?

College Algebra
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ISBN:9781337282291
Author:Ron Larson
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Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 40CT: There are 10 applicants for three sales positions at a department store. All of the applicants are...
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  1. At a school with 100 students, 35 students were taking Arabic, 32 Bulgarian, and 30 Chinese. Twenty students take only Arabic, 20 take only Bulgarian, and 14 take only Chinese. In addition, 7 students are taking both Arabic and Bulgarian, some of whom also take Chinese. How many students are taking all three languages? None of these three languages?
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