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
  – x = 49 – 56; x = 7