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Question

If A×B={(a,1),(a,2),(a,3),(b,1),(b,2),(b,3)}, then n(A)+n(B)= .

A
4
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B
5
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C
6
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D
7
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Solution

The correct option is B 5
Given that A×B={(a,1),(a,2),(a,3),(b,1),(b,2),(b,3)}.
A=Set of all first coordinates of A×B={a,b}
and B=Set of all second coordinates of A×B
={1,2,3}
n(A)+n(B)=2+3=5

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