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Venn Diagram and Cardinality In a survey group of 70 students, 62 liked the movie "The Father," 43 liked the movie "Minari," and 53 liked the movie "Promising Young Woman." 30 students liked all three movies; 37 liked both "The Father" and "Minari"; 35 liked both "Minari" and "Promising Young Woman"; and 47 liked both "The Father" and "Promising Young Woman". Represent this information using a Venn Diagram and answer the questions that follow. a. How many students liked only "The Father"? b. How many students liked both "Minari" and "Promising Young Woman," but not "The Father"? c. How many students liked exactly two of the movies? d. How many students did not like any of the movies?

Venn Diagram and Cardinality In a survey group of 70 students, 62 liked the movie "The Father," 43 liked the movie "Minari," and 53 liked the movie "Promising Young Woman." 30 students liked all three movies; 37 liked both "The Father" and "Minari"; 35 liked both "Minari" and "Promising Young Woman"; and 47 liked both "The Father" and "Promising Young Woman". Represent this information using a Venn Diagram and answer the questions that follow. a. How many students liked only "The Father"? b. How many students liked both "Minari" and "Promising Young Woman," but not "The Father"? c. How many students liked exactly two of the movies? d. How many students did not like any of the movies?

Algebra and Trigonometry (MindTap Course List)
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 Diagram and Cardinality In a survey group of 70 students, 62 liked the movie "The Father," 43 liked the movie "Minari," and 53 liked the movie "Promising Young Woman." 30 students liked all three movies; 37 liked both "The Father" and "Minari"; 35 liked both "Minari" and "Promising Young Woman"; and 47 liked both "The Father" and "Promising Young Woman". Represent this information using a Venn Diagram and answer the questions that follow. a. How many students liked only "The Father"? b. How many students liked both "Minari" and "Promising Young Woman," but not "The Father"? c. How many students liked exactly two of the movies? d. How many students did not like any of the movies?
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