Venn/Tree Diagrams (week 15)

Front

What is a Venn diagram?

Back

A Venn diagram is a visual representation used to show the relationships between different sets, illustrating how they overlap and interact.

Front

What does each circle in a Venn diagram represent?

Back

Each circle in a Venn diagram represents a set, and the overlapping areas show the elements that are common to those sets.

Front

How do you determine the total number of elements in a Venn diagram?

Back

To find the total number of elements, add the number of elements in each set and subtract the number of elements in the overlapping areas.

Front

What is a tree diagram?

Back

A tree diagram is a graphical representation that shows all possible outcomes of a situation, branching out from a starting point.

Front

How do you calculate the total number of outcomes in a tree diagram?

Back

Multiply the number of choices at each branch to find the total number of possible outcomes.

Front

If a Venn diagram shows 5 students in chorus, 9 in band, and 24 in orchestra, how many students are in all three?

Back

5 students are in all three (chorus, band, and orchestra).

Front

In a Venn diagram, how do you find the number of elements in one set but not in another?

Back

Subtract the number of elements in the intersection from the total number of elements in the first set.

Front

If an ice cream shop offers 3 types of cones and 31 flavors, how many different 1-scoop cones can be ordered?

Back

93 different 1-scoop ice cream cones can be ordered (3 cones x 31 flavors = 93).

Front

How many outfits can be made with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80 outfits can be made (5 jeans x 8 t-shirts x 2 shoes = 80).

Front

What does it mean for students to like country or rap but not rock in a Venn diagram?

Back

It means to count only those students who are in the country or rap circles but not in the rock circle.