if two sets A and B consists of elements bracket under 1345 bracket and Bracket 6 7 8 9 bracket respectively then find the number of element in bracket a union b bracket
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A union B={1,3,4,5,6,7,8,9}
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Given A and B are two sets with number of elements p and q respectively.
The cartesian product of A and B=A×B={(a,b):(a∈A) and (b∈B)}
Number of elements in A×B=∣A×B∣=∣A∣.∣B∣=pq
Any relation from A to B is a subset of A×B.
Hence number of relations from A to B is the number of subsets of A×B
=2 ∣A×B∣ =2^pq
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