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Introduction to Relations (XI) on Sets

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Question

If A={2,3},B={4,5} and C={5,6} , then n{(A×B)(B×C)} is

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Solution

A×B={2,3}×{4,5} ={(2,4),(2,5),(3,4),(3,5)}andB×C={4,5}×{5,6} ={(4,5),(4,6),(5,5),(5,6)} (A×B)(B×C)={(2,4),(2,5),(3,4),(3,5) (4,5),(4,6),(5,5),(56)} Now, n{(A×B)(B×C)}=8 


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