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Question

If A={1,2,3},B={4,5,6,7,8}, C={4,8,12,16,20}, then n[(A×B)(A×C)]=

A
16
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B
24
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C
30
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D
12
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Solution

The correct option is B 24
A={1,2,3},B={4,5,6,7,8}, C={4,8,12,16,20}

(A×B)(A×C)=A×(BC)(BC)={4,5,6,7,8,12,16,20}

n[(A×B)(A×C)]=n(A×(BC))=n(A)×n(BC)=3×8=24

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