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A and B are two sets. The number of elements in A∪B is 49, the...

Mathematics
WAEC 1997
A and B are two sets. The number of elements in A∪B is 49, the number in A is 22 and number in B is 34. How many elements are in A ∩ E?
  • A. 105
  • B. 27
  • C. 15
  • D. 12
  • E. 7
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Correct Answer: Option E
Explanation
Let x represent the intersection
34 - x + 22 - x + x = 49
  - x = 49 - 56; x = 7
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