Question

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 ge
(a) select all the genres that lena likes.
satire comedy drama
(b) how many students like satire or comedy (or both)?

(c) which students only like one of the three genres (satire, comedy, or drama)? choose all that apply.
abdul chris dan elsa greg
jenny keisha lena martina ravi
sam trey yoko

Explanation:

Step1: Identify Lena's genres

Lena is in the intersection of all three circles (satire, comedy, drama), so she likes all three.

Step2: Count satire/comedy students

List students in satire or comedy circles: Yoko, Sam, Greg, Keisha, Lena, Ravi, Trey, Dan. Count them: $1+1+1+1+1+1+1+1=8$

Step3: Find single-genre students

• Only satire: Yoko
• Only comedy: Dan
• Only drama: Abdul

These are the students in non-overlapping parts of each circle.

Answer:

(a) satire, comedy, drama
(b) 8
(c) Dan, Yoko, Abdul