Sets Relations And Functions Question 27
Question: Given $ n(U)=20,n(A)=12,n(B)=9,n(A\cap B)=4, $ where U is the universal set, A and B are subsets of U, then $ n({{(A\cup B)}^{c}})= $
Options:
A) 17
B) 9
C) 11
D) 3
Show Answer
Answer:
Correct Answer: D
Solution:
- [d] $ n(A\cup B)=n(A)+n(B)-n(A\cap B) $ $ =12+9-4=17 $ Now, $ n({{(A\cup B)}^{c}})=n(U)-n(A\cup B) $ $ =20-17=3 $
BETA
