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.

Solution:

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.

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

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

(b) A ∩ C ∩ B': 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.  

So, statement (c) belongs to the intersection of the Venn diagram.

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.

Summary:

Statement (c) - The number of students that prefer a burger, pizza as well as hotdog belongs to the intersection of the Venn diagram.