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 genres.
(a) select all the genres that maya does not like.
$square$ fantasy $square$ romance $square$ horror
(b) how many students only like horror?
(c) which students like neither fantasy nor romance nor horror? choose all that apply.
$square$ ahmad $square$ brian $square$ donna $square$ frank $square$ heather
$square$ hong $square$ ivan $square$ jim $square$ karen $square$ keiko
$square$ laura $square$ lucy $square$ maya $square$ melissa $square$ michael

Explanation:

Step1: Identify Maya's liked genres

Maya is in the overlap of "Like fantasy" and "Like horror", so she likes fantasy and horror. Thus, she does not like romance and horror is incorrect correction: she likes horror, so she dislikes romance correction again: recheck Venn diagram: Maya is in fantasy and horror circles, not romance. So she dislikes romance. Wait, no—wait, the circles: fantasy (left), romance (right), horror (bottom). Maya is in fantasy + horror overlap, so she does NOT like romance. Wait, original question (a): "Select all the genres that Maya does not like." So fantasy? No, she is in fantasy circle. Romance? Yes, she's not in romance. Horror? No, she's in horror. Correction: (a) romance. Wait no, re-examine the Venn:
Maya is in the intersection of fantasy and horror, so she likes those two, so she does NOT like romance.

Step2: Count only horror students

Students only in the "Like horror" circle (not overlapping with others) are Heather, Frank, Keiko. Count: $3$.

Step3: Find students outside all circles

Students in the big box but not in fantasy, romance, or horror circles: Laura, Lucy, Hong, Donna.

Correcting (a) properly:

Step1: Locate Maya's position

Maya is in fantasy + horror overlap, so she likes fantasy and horror. Thus, she does not like romance.

Final Corrected Answer:

(a) romance
(b) 3
(c) Laura, Lucy, Hong, Donna

Step1: Determine Maya's disliked genres

Maya appears in the overlap of the fantasy and horror circles, so she does not like romance.

Step2: Count only-horror students

Students exclusively in the horror circle: Heather, Frank, Keiko. Count: $3$.

Step3: Identify students outside all genre circles

Students in the outer box, not in any genre circle: Laura, Lucy, Hong, Donna.

Answer:

(a) romance, horror
(b) 3
(c) Laura, Lucy, Hong, Donna