Venn Diagram Generator (3 Sets)

Build a 3-circle Venn diagram by entering your set labels, individual counts, and intersection values. Fill in Set A, Set B, and Set C along with their pairwise overlaps and the center intersection — the diagram updates to show each region's size and your total population at a glance.

Items in Set A but not in B or C

Items in Set B but not in A or C

Items in Set C but not in A or B

Items in both A and B but not C

Items in both A and C but not B

Items in both B and C but not A

Items in all three sets

Results

Total Items (Union)

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Set A Total

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Set B Total

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Set C Total

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A ∩ B (incl. center)

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A ∩ C (incl. center)

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B ∩ C (incl. center)

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Items per Venn Region

Results Table

Frequently Asked Questions

What is a Venn diagram?

A Venn diagram uses overlapping circles to show the logical relationships between different sets or groups. Each circle represents a set, and overlapping areas show items shared between those sets. They are widely used in statistics, logic, mathematics, and everyday comparisons.

How do I fill in the intersection values?

Each intersection field should contain only the count exclusive to that specific overlap zone. For example, 'A ∩ B Only' should hold items in both A and B but NOT in C. The center field 'A ∩ B ∩ C' holds items belonging to all three sets simultaneously.

What is the difference between a Venn diagram and an Euler diagram?

A Venn diagram always draws all possible intersecting circles regardless of whether those intersections contain any items, even if some regions are empty. An Euler diagram only draws regions that actually contain elements, making it more visually concise but potentially less informative about logical possibilities.

What does 'Total Items (Union)' mean?

The union is the total number of unique items across all three sets combined. It equals the sum of all seven distinct regions: A only, B only, C only, A∩B only, A∩C only, B∩C only, and the center A∩B∩C. Each item is counted once regardless of how many sets it belongs to.

How is Set A Total calculated?

Set A Total is the full count of items in Set A, including those it shares with other sets. It is calculated as: A Only + A∩B Only + A∩C Only + A∩B∩C. The same logic applies to Sets B and C.

Can I use this for non-numeric categories?

This generator works with counts (numbers of items per region). If you have a list of named items, count how many belong to each region and enter those numbers. The labels let you describe what each set represents — for example 'Python developers', 'Project A members', or 'Biology students'.

What should I enter if two sets have no overlap?

Simply enter 0 for the intersection field between those two sets. The calculator will still compute the union and individual set totals correctly, and the bar chart will show that region as empty.

How do I interpret the percentage column in the table?

Each percentage shows what fraction of the total union that specific region represents. For example, if the center region has 5 items out of a total of 105, it represents approximately 4.76% of all unique items across the three sets.

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