If set A contains 10 elements, set B contains 15 elements, and the intersection of A and B contains 5 elements, how many elements are in the union of sets A and B?
Practice Questions
1 question
Q1
If set A contains 10 elements, set B contains 15 elements, and the intersection of A and B contains 5 elements, how many elements are in the union of sets A and B?
20
15
10
25
The number of elements in the union of sets A and B is given by |A ∪ B| = |A| + |B| - |A ∩ B| = 10 + 15 - 5 = 20.
Questions & Step-by-step Solutions
1 item
Q
Q: If set A contains 10 elements, set B contains 15 elements, and the intersection of A and B contains 5 elements, how many elements are in the union of sets A and B?
Solution: The number of elements in the union of sets A and B is given by |A ∪ B| = |A| + |B| - |A ∩ B| = 10 + 15 - 5 = 20.
