Item 3: Using a Venn diagram, determine the number of students in each region based on the following data: [Data for sets A, B, C and their intersections would be provided here.]

Here's a step-by-step solution for Item 3:

Let A, B, and C represent the sets of students who ticked Andrew, Badru, and Cathy, respectively. We will use a Venn diagram approach to solve this problem, where each region represents a distinct group of students.

Let:

• $N(A_{only})$ = students who ticked only A
• $N(B_{only})$ = students who ticked only B
• $N(C_{only})$ = students who ticked only C
• $N(A \cap B_{only})$ = students who ticked A and B, but not C
• $N(A \cap C_{only})$ = students who ticked A and C, but not B