Inclusion Exclusion Quizzes, Questions & Answers

Principle Basics Quizzes

Inclusion–Exclusion Principle Essentials Quiz

Are you ready to master how overlapping sets interact? This quiz introduces you to the core ideas behind the Inclusion–Exclusion Principle — a powerful tool that combin...

Questions: 15 | Attempts: 12 | Last updated: Dec 12, 2025

Sample Question
The Inclusion–Exclusion Principle is primarily used to:

Count derivatives

Determine sizes of overlapping sets

Evaluate integrals

Compute eigenvalues

Inclusion Exclusion Quiz: Two Set Inclusion Exclusion Basics

How can you handle overlapping sets without double-counting? In this quiz, you’ll explore the two-set inclusion–exclusion principle and learn how it corrects overcounts...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Given |A|=30, |B|=25, and |A ∩ B|=12, what is |A ∪ B|?

41

43

45

47

Complementary Counting Quiz: Complementary Counting via Inclusion Exclusion

How can counting what doesn’t happen help you find what does? In this quiz, you’ll explore complementary counting and see how subtracting unwanted outcomes simplifies m...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Out of N=200 students, |A|=120 (Art), |B|=90 (Band), and |A ∩ B|=50. How many are in none of A or B?

35

40

45

50

All Principle Basics Quizzes

Two Sets Quizzes

Inclusion–Exclusion for Two Sets

Are you ready to make sense of how two sets overlap? In this quiz, you’ll explore how the inclusion–exclusion principle helps you calculate unions and intersections wit...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
Which formulas correctly represent the size of the union of two finite sets A and B?

|A ∪ B| = |A| + |B|

|A ∪ B| = |A| + |B| − |A ∩ B|

|A ∪ B| = |A| − |B| + |A ∩ B|

|A ∪ B| = |A ∩ B|

Inclusion–Exclusion for Two Sets (Applied & Algebraic Focus)

Can you use inclusion–exclusion beyond basic set diagrams? In this quiz, you’ll apply the idea to algebraic expressions and more complex counting setups. You’ll b...

Questions: 20 | Attempts: 10 | Last updated: Dec 17, 2025

Sample Question
In a survey, |M| = 60 like Music, |A| = 45 like Art, |M ∩ A| = 25. Which statements are true?

|M ∪ A| = 105

|M ∪ A| = 80

Exactly one = 55

M and A are disjoint

Inclusion–Exclusion with Two Sets Quiz

Are you ready to see how overlapping sets can be counted accurately? In this quiz, you’ll explore the classic inclusion–exclusion formula for two sets and learn how it ...

Questions: 15 | Attempts: 10 | Last updated: Dec 12, 2025

Sample Question
For two sets A and B, the inclusion–exclusion formula is:

|A∪B|=|A|+|B|

|A∪B|=|A|+|B|-|A∩B|

|A∪B|=|A|-|B|

|A∪B|=|A∩B|

All Two Sets Quizzes

Three Sets Quizzes

Inclusion Exclusion Quiz: Apply the Counting Principle

Counting overlapping sets can get tricky fast, but this inclusion exclusion quiz makes the process feel intuitive. You’ll explore how sets interact, how to avoid double-count...

Questions: 20 | Attempts: 11 | Last updated: Dec 17, 2025

Sample Question
For three sets A, B, C, what is the correct inclusion–exclusion formula for |A ∪ B ∪ C|?

|A| + |B| + |C|

|A| + |B| + |C| − |A ∩ B ∩ C|

|A| + |B| + |C| − |A ∩ B| − |A ∩ C| − |B ∩ C| + |A ∩ B ∩ C|

|A ∩ B ∩ C|

Inclusion–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 &...

Questions: 15 | Attempts: 10 | Last updated: Dec 12, 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|

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 inv...

Questions: 15 | Attempts: 10 | Last updated: Dec 12, 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∣

All Three Sets Quizzes

Venn Diagram Use Quizzes

Inclusion–Exclusion — Advanced Practice

Overlaps and intersections can complicate probability, but the inclusion–exclusion principle makes sense of it all. In this quiz, you’ll tackle advanced problems that r...

Questions: 10 | Attempts: 12 | Last updated: Dec 10, 2025

Sample Question
P(A) = 0.52, P(B) = 0.47, P(A ∩ B) = 0.21. Find P(A ∪ B).

0.8

0.7

0.78

0.68

Solving for Missing Probabilities

Sometimes in probability, not all the numbers are given—but the missing values can be found! In this quiz, you’ll work on solving for unknown probabilities using given ...

Questions: 10 | Attempts: 11 | Last updated: Dec 10, 2025

Sample Question
P(A) = 0.45, P(B) = 0.35, P(A ∪ B) = 0.70. Find P(A ∩ B).

0.15

0.12

0.1

0.05

Addition Rule Applications

Questions: 10 | Attempts: 11 | Last updated: Dec 10, 2025

Sample Question
P(A) = 0.4, P(B) = 0.5, P(A∩B) = 0.2. Find P(A∪B).

0.7

0.75

0.65

0.8

All Venn Diagram Use Quizzes

Advanced Problems Quizzes

Advanced Addition Rule — 2 and 3 Events

Probability gets trickier with multiple events. In this quiz, you’ll apply the addition rule for two and three events, making sure to account for overlaps correctly. Take thi...

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

Sample Question
Given P(A)=0.6, P(B)=0.5, and P(A∩B)=0.4, find P(A∪B).

0.8

0.6

0.7

0.9

Inclusion–Exclusion

Overlapping sets often confuse probability and counting problems. The inclusion–exclusion principle clears up the confusion! In this quiz, you’ll practice applying the ...

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

Sample Question
Given P(A)=0.58, P(B)=0.46, P(A∩B)=0.31, find P(A∪B).

0.75

0.69

0.73

0.77

All Advanced Problems Quizzes

Inclusion Exclusion Quizzes, Questions & Answers

Popular Inclusion Exclusion Topics

Principle Basics Quizzes

Two Sets Quizzes

Three Sets Quizzes

Venn Diagram Use Quizzes

Advanced Problems Quizzes

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