Question
Mathematics Question on Sets
If A and B are not disjoint sets, then n(A∪B) is equal to
A
n(A)+n(B)
B
n(A)+n(B)−n(A∩B)
C
n(A)+n(B)+n(A∩B)
D
n(A)n(B)
Answer
n(A)+n(B)−n(A∩B)
Explanation
Solution
Answer (b) n(A)+n(B)−n(A∩B)
If A and B are not disjoint sets, then n(A∪B) is equal to
n(A)+n(B)
n(A)+n(B)−n(A∩B)
n(A)+n(B)+n(A∩B)
n(A)n(B)
n(A)+n(B)−n(A∩B)
Answer (b) n(A)+n(B)−n(A∩B)