Question # 01: Four option are given against each statement. Encircle the correct option.
\((vii)\)\(\;\)If \(A=\{1,2,3,4\} \) and \(B=\{x,y,z\}\), then cartesian product of \(A\) and \(B\) contains exactly _______ elements.
\( a) \quad \) \(13\)
\( b) \quad \) \(12\)
\(c) \quad \) \(10\)
\( d) \quad \) \(6\)
Answer: \( b) \; \) \( 12\)
Explanation:
Since
\(n(A\times B)=n(A)\times n(B)\)
\(\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =4\times 3\)
\(\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ =12\)