Sets Relations And Functions Question 65
Question: Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in A U B
[MNR 1987; Karnataka CET 1996]
Options:
A) 3
B) 6
C) 9
D) 18
Show Answer
Answer:
Correct Answer: B
Solution:
- n(A È B) = n + n - n(A Ç B) = $ 3+6-n(A\cap B) $ Since, maximum number of elements in $ A\cap B=3 $
$ \therefore $ Minimum number of elements in $ A\cup B=9-3=6 $ .
BETA
