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Three Sets Quizzes , Questions & Answers

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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: 13   |  Last updated: Jan 27, 2026
  • Sample Question 1
    In the inclusion–exclusion formula for three sets A,B,C, which term has a positive sign?
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  • Sample Question 2
    Given ∣A∣=25, ∣B∣=22, ∣C∣=20; ∣A∩B∣=7, ∣A∩C∣=6, ∣B∩C∣=5; and ∣A∩B∩C∣=3, what is ∣A∪B∪C∣?
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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-counting, and why this principle is such a useful...

Questions: 20  |  Attempts: 13   |  Last updated: May 21, 2026
  • Sample Question 1
    For three sets A, B, C, what is the correct inclusion–exclusion formula for |A ∪ B ∪ C|?
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  • Sample Question 2
    In the three-set inclusion–exclusion formula, which intersection term appears with a positive sign?
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