Mathematics

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

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
Correct Answer: Option E
Explanation

Let x represent the intersection
34 – x + 22 – x + x = 49
&nbsp – x = 49 – 56; x = 7