Sets Relations And Functions Question 77
Question: Sets A and B have n elements in common. How many elements will $(A \times B)$ and $(B \times A)$ have in common?
Options:
A) $ n $
B) $ 2n $
C) $ n^{2} $
D) 0
Show Answer
Answer:
Correct Answer: C
Solution:
- [c] if both A and B have n elements in common, then a common ordered pair in A $ \times $ B and B $ \times $ A can have the first element common in n ways and similarly the second element also in n ways. Thus, $ n.n=n^{2} $ elements will be in common.
BETA
