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?
Answer Details
To find the number of elements in the intersection of A and B, we can use the formula:
|A ∪ B| = |A| + |B| - |A ∩ B|
We are given |A ∪ B| = 49, |A| = 22, and |B| = 34. Substituting these values into the formula gives:
49 = 22 + 34 - |A ∩ B|
Simplifying, we get:
|A ∩ B| = 22 + 34 - 49 = 7
Therefore, there are 7 elements in the intersection of A and B.
The correct answer is 7.