Venn diagrams and Cardinality In a survey of students, it was found that 64 students liked Algebra; 59 students liked Trigonometry; 61 students liked Calculus; 23 students liked Algebra and Trigonometry; 21 students liked Algebra and Calculus; 32 students liked Trigonometry and Calculus; 9 liked all three; and 40 students did not like Math. How many students were surveyed?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
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Venn diagrams and Cardinality In a survey of students, it was found that 64 students liked Algebra; 59 students liked Trigonometry; 61 students liked Calculus; 23 students liked Algebra and Trigonometry; 21 students liked Algebra and Calculus; 32 students liked Trigonometry and Calculus; 9 liked all three; and 40 students did not like Math. How many students were surveyed?
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