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Example 9: Exactly two sets

Last Updated On: Fri Aug 28 2026

Question

For three sets A, B, and C, n(A intersection B) = 18 and n(A intersection B intersection C) = 7. How many elements are in A and B only?

Solution

  1. n(A intersection B) includes the elements common to all three sets.
  2. Elements in A and B only = 18 - 7.
  3. Therefore, 11 elements are in A and B only.
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