Questions: Interpreting a Venn diagram with 3 sets for a real-world situation In a writing course, the professor surveyed the students to see the literature genres they like. The Venn diagram shows this information for three of the genres. (a) Select all the genres that Ahmad does not like. comedy nonsense fantasy (b) How many students like comedy or fantasy (or both)? (c) Which students like neither comedy nor nonsense nor fantasy? Choose all that apply. Ahmad Ashley Austin Frank Isabel Juan Leila Lena Lisa Omar Rita Tammy Trey

Solution Steps

Ahmad is located in the intersection of the "Like comedy" and "Like nonsense" circles but outside the "Like fantasy" circle. Therefore, Ahmad does not like fantasy.

To find the number of students who like comedy or fantasy (or both), we need to count all the students in the "Like comedy" and "Like fantasy" circles, including those in the intersection of these circles. The students are:

• Comedy: Juan, Lisa, Ahmad, Tammy, Rita, Omar
• Fantasy: Tammy, Rita, Trey

Combining these lists and removing duplicates, we get: Juan, Lisa, Ahmad, Tammy, Rita, Omar, Trey. There are 7 students in total.

To find the students who like neither comedy, nonsense, nor fantasy, we look for students outside all three circles. These students are: Lena, Frank, Leila.

Final Answer