Two Sets Quizzes, Questions & Answers

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Top Trending Two Sets Quizzes

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 fixes the problem of double-counting shared...

Questions: 15 | Attempts: 11 | 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|

Two-Set Unions, Intersections, and Probabilities Quiz

Think you can juggle counts, sets, and probabilities all at once? This quiz takes your understanding of inclusion–exclusion a step further by blending set cardinalities with real-life contexts and probability...

Questions: 15 | Attempts: 11 | Last updated: Dec 12, 2025

Sample Question
For sets A and B, if |A|=28, |B|=19, and |A∩B|=7, then |A∪B| is:

34

40

48

54

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 with confidence. You’ll practice...

Questions: 20 | Attempts: 11 | 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 begin with straightforward numerical cases and...

Questions: 20 | Attempts: 11 | 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

Recent Two Sets Quizzes

Advanced Two-Set Inclusionâ€“Exclusion and Set Identities Quiz

Ready to look at inclusion–exclusion from a more advanced, structural point of view? This quiz challenges you to manipulate the two-set formula algebraically, derive rearranged forms, and interpret what equations like...

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

Sample Question
Rearranged inclusion–exclusion:

|A|=|A∪B|+|B|-|A∩B|

|A|=|A∪B|+|A∩B|-|B|

|A|=|A∩B|-|A∪B|-|B|

|A|=|B|-|A∪B|+|A∩B|