Sets Relations And Functions Question 107
Question: If X and Y are two sets such that $ (X\cup Y) $ has 60 elements, X has 38 elements and Y has 42 elements, how many elements does $ (X\cap Y) $ have?
Options:
A) 11
B) 20
C) 13
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- [b]Since $ (X\cup Y) $ has 60 elements, X has 38 elements and Y has 42 elements. We know that $ (X\cup Y)=X+Y-X\cap Y $ Or $ 60=38+42-(X\cap Y) $ or $ (X\cap Y)=80-60=20 $
BETA
