Two Sets Quizzes, Questions & Answers

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Advanced Two-Set Inclusion–Exclusion and Set Identities Quiz

Advanced Two-set Inclusion–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 1, 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|

Two-Set Unions, Intersections, and Probabilities Quiz

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: 10 | Last updated: Dec 1, 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 with Two Sets Quiz

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 fixes the problem of double-counting shared...

Questions: 15 | Attempts: 10 | Last updated: Dec 1, 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 Sets Quizzes, Questions & Answers

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