Sets Relations And Functions Question 23
Question: Which of the following is correct?
I. $ n(S\cup T) $ is maximum when n $ n(S\cap T) $ is least, II. If $ n(U)=1000,n(S)=720,n(T)=450, $ then least value of $ n(S\cap T)=170. $
Options:
A) Only I is true
B) Only II is true
C) Both I and II are true
D) Both I and II are false
Show Answer
Answer:
Correct Answer: C
Solution:
- [c]Both the statements are true. II. $ n(S\cup T)=n(S)+n(T)-n(S\cap T) $ $ =720+450-n(S\cap T) $ $ =1170-n(S\cap T) $
$ \Rightarrow 1170-n(S\cap T)\le n(U)\Rightarrow 1170-n(S\cap T)\le 1000 $
$ \Rightarrow n(S\cap T)\ge 170 $
BETA
