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Question

If A={1,2,3} and B={4,5}, then A×B= ___.


A

{(1,2),(1,3),(2,3),(4,5)}

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B

{(4,1),(4,2),(4,3),(5,1),(5,2),(5,3)}

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C

{(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)}

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D

{(1,4),(1,5),(2,4),(2,5)}

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Solution

The correct option is C

{(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)}


The Cartesian product of sets A and B is defined as:
A×B={(a,b):aA,bB}
A×B={(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)}


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