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In a Venn diagram with circles A and B, if A contains 10 elements, B contains 15

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Question: In a Venn diagram with circles A and B, if A contains 10 elements, B contains 15 elements, and their intersection contains 5 elements, how many unique elements are in A or B?

Options:

  1. 20
  2. 15
  3. 10
  4. 25

Correct Answer: 20

Solution: 

The formula for unique elements in A or B is |A| + |B| - |A ∩ B| = 10 + 15 - 5 = 20.

In a Venn diagram with circles A and B, if A contains 10 elements, B contains 15

Practice Questions

Q1
In a Venn diagram with circles A and B, if A contains 10 elements, B contains 15 elements, and their intersection contains 5 elements, how many unique elements are in A or B?
  1. 20
  2. 15
  3. 10
  4. 25

Questions & Step-by-Step Solutions

In a Venn diagram with circles A and B, if A contains 10 elements, B contains 15 elements, and their intersection contains 5 elements, how many unique elements are in A or B?
  • Set Theory – Understanding the principles of union and intersection of sets.
  • Venn Diagrams – Using Venn diagrams to visualize relationships between different sets.
  • Cardinality – Calculating the number of unique elements in combined sets.
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