# Which statement belongs at the intersection of the Venn diagram? Let A be the students who prefer burgers, B be the students who prefer hotdog and C be the students who prefer pizza.(a) The number of students that prefer both burgers or pizza and not a hotdog. (b) The number of students that prefer both burgers and pizza and not a hotdog. (c) The number of students that prefer a burger, pizza as well as hotdog.

A Venn diagram is a diagram that helps us visualize the logical relationship between sets and their elements and helps us solve examples based on these sets.

## Answer: .Statement (b) The number of students that prefer both burgers and pizza and not a hotdog. (c) The number of students that prefer a burger, pizza as well as hotdog.

We will represent each statement using A, B, and C and Venn diagram symbols.

**Explanation:**

(a) A ∪ C: The number of students that prefer both burgers or pizza and not a hotdog.

(b) A ∩ C: The number of students that prefer both burgers and pizza and not a hotdog.

(c) A ∩ B ∩ C: The number of students that prefer a burger, pizza as well as hotdog.