Sets Relations And Functions Question 13
Question: Let $ n(U)=700,n(A)=200,n(B)=300,n(A\cap B)=100 $ then $ n(A’\cap B’) $ is equal to
Options:
A) 400
B) 600
C) 300
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
- [c] $ n(A’\cap B’)=n(A\cup B)’=n(U)-n(A\cup B) $ $ =n(U)-[n(A)+n(B)-n(A\cap B)] $ $ =700-[200+300-100]=300 $