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# Can you draw a Venn diagram for 4 sets?

## Can you draw a Venn diagram for 4 sets?

To make a Venn diagram with 4 sets, simply draw 4 circles (or ovals) inside the universal rectangle. When drawing the diagram, ask yourself which of these sets intersect with which other sets. The circles representing those sets will need to overlap each other.

## Why are circles not used for Venn diagram for four or more sets?

The crucial point is this: Two distinct circles can intersect only in exactly 0, 1 or 2 points. For purposes of Venn diagrams, we need to consider only pairs of circles which intersect each other in exactly 2 points. Thus it is not possibe to represent 16 regions using Venn diagrams consisting of 4 circles.

How many sets can a Venn diagram have?

Venn diagrams typically represent two or three sets, but there are forms that allow for higher numbers.

### How many circles can you put in a Venn diagram?

They are often confused with Euler diagrams. While both have circles, Venn diagrams show the whole of a set while Euler diagrams can show parts of a set. Venn diagrams can have unlimited circles, but more than three becomes extremely complicated so you’ll usually see just two or three circles in a Venn diagram drawing.

### How do you make a Venn diagram with 4 circles in Word?

How to make a Venn diagram using the shape library in MS Word

1. In Word, go to Insert > Illustrations > Shapes. A drop-down menu will appear.
2. Add shapes and lines from the shape library to build your Venn diagram.
3. Add text with a text box.
4. Move shapes and text boxes to create your Venn diagram.

Can you have a 4 circle Venn diagram?

Can we use four congruent circles to represent all possible intersections among four sets? Below we show that a Venn diagram using circles to represent the intersections among n ≥ 4 sets can’t exist. We can, however, produce Venn diagrams for four or more sets using other shapes.

## How many regions does a 4 set Venn diagram contain?

In particular a Venn diagram for 4 sets must have 16 regions.

## Is a 4 circle Venn diagram possible?

4 Answers. The short answer, from a paper by Frank Ruskey, Carla D. Savage, and Stan Wagon is as follows: it is impossible to draw a Venn diagram with circles that will represent all the possible intersections of four (or more) sets.

How do you make a Venn diagram in Lucidchart?

Create a Venn diagram in Lucidchart Start with a template to customize or begin by selecting the Venn diagram shape library and then drag circle shapes—or sets—to the canvas. You can duplicate or resize these shapes to be bigger, smaller, or even ovals.

### How do you write the middle of a Venn diagram?

Add text to a Venn diagram

1. In the Text pane, click [Text] in the pane, and then type your text (or select a bullet and type your text).
2. Copy text from another location or program, click [Text] in the Text pane, and then paste your text.
3. Click a circle in the SmartArt graphic, and then type your text.