| I. \[A\times B=B\times A\] |
| II. \[n(A\times B)=n(B\times A)\] |
| Choose the correct option. |
A) Statement-I is true.
B) Statement-II is true.
C) Both are true.
D) Both are false.
Correct Answer: B
Solution :
(b)\[A\times B=\{(1,5),(1,7),(1,9)(2,5),(2,7),(2,9)\]\[(3,5),(3,7),(3,9),(4,5),(4,7),(4,9)\}\] \[B\times A=\left\{ \begin{matrix} (5,1),(5,2),(5,3),(5,4) \\ (7,1),(7,2),(7,3),(7,4) \\ (9,1)(9,2),(9,3),(9,4) \\ \end{matrix} \right\}\] \[A\times B\ne B\times A\] but \[n(A\times B)=n(B\times A)=12\]
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