Which statement belongs in the intersection of the Venn diagram?


Question:  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: (b), (c)

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.  

So, statements (b) and (c) belongs at the intersection of the Venn diagram.