Question

if A={1,2,3,5}, B={2,4}, verify n(A×B)=n(A).n(B)​

Answer 1

Please see the following image description

Answer 2

$Given \: A = \{1,2,3,5\} \: and \:B =\{ 2,4\}$

$i) n(A) = 4$

$ii) n(B) = 2$

$iii) A\times B= \{(1,2),(1,4),(2,2),(2,4),(3,2),(3,4),(5,2),(5,4)\}$

$Now , L.H.S = n( A\times B) = 8$

$R.H.S = n(A) \times n(B)$

$= 4 \times 2$

$= 8$

$\therefore LHS = RHS$

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