Functions Question 403
Question: Consider the following statements. Let $ A={1,2,3,4} $ and $ B={5,7,9} $
I. $ A\times B=B\times A $ II. $ n(A\times B)=n(B\times A) $ Choose the correct option.
Options:
A) Statement-I is true.
B) Statement-II is true.
C) Both are true.
D) Both are false.
Show Answer
Answer:
Correct Answer: B
Solution:
(b) $ A\times B={(1,5),(1,7),(1,9)(2,5),(2,7),(2,9) $ $ (3,5),(3,7),(3,9),(4,5),(4,7),(4,9)} $ $ B\times A= \begin{cases} (5,1),(5,2),(5,3),(5,4) \\ (7,1),(7,2),(7,3),(7,4) \\ (9,1)(9,2),(9,3),(9,4) \\ \end{cases} } $ $ A\times B\ne B\times A $ but $ n(A\times B)=n(B\times A)=12 $
BETA
