Three Sets Quizzes, Questions & Answers

Top Trending Three Sets Quizzes

Advanced Three-Set Inclusion–Exclusion and Set Analysis Quiz

Advanced Three-set Inclusion–exclusion And Set Analysis Quiz

Ready to push your understanding of three-set inclusion–exclusion to a more advanced level? In this quiz, you’ll work with precise formulas, rearrangements, and logical consequences of set relationships....

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question 1
For three sets A,B,C, which is the correct inclusion–exclusion formula for the union?

∣A∣+∣B∣+∣C∣−∣A∩B∩C∣

∣A∣+∣B∣+∣C∣−∣A∩B∣−∣A∩C∣

∣A∣+∣B∣+∣C∣−∣A∩B∣−∣A∩C∣−∣B∩C∣+∣A∩B∩C∣

∣A∩B∩C∣

Sample Question 2
Let ∣A∣=21, ∣B∣=19, ∣C∣=17; ∣A∩B∣=8, ∣A∩C∣=6, ∣B∩C∣=5; and ∣A∩B∩C∣=4. What is ∣A∪B∪C∣?

38

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44

Sample Question 3
For sets A,B,C with given values find ∣A∩B∩C∣.

5

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8

Recent Three Sets Quizzes

Counting with Three Overlapping Sets Quiz

Think you can keep track of all the overlaps when three sets intersect? This graduate-level quiz challenges you to apply the three-set inclusion–exclusion formula in more involved situations. You’ll analyze...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question
In the inclusion–exclusion formula for three sets A,B,C, which term has a positive sign?

∣A∩B∣

∣A∩C∣

∣B∩C∣

∣A∩B∩C∣

Inclusionâ€“Exclusion with Three Sets Quiz

Are you ready to see how counting changes when three sets overlap? In this quiz, you’ll explore the full three-set inclusion–exclusion formula and learn how each term — singles, pairwise intersections, and...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 2025

Sample Question
For three sets A,B,C, the inclusion–exclusion formula for the union is:

|A|+|B|+|C|

|A|+|B|+|C|-|A∩B|-|A∩C|-|B∩C|

|A|+|B|+|C|-|A∩B|-|A∩C|-|B∩C|+|A∩B∩C|

|A∩B∩C|