Question

I. Choose the correct answer :-
1. If there are 1024 relations from a set A = {1,2,3,4,5) to a set B, then the number of elements in B is
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Answer 1

Answer:

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Step-by-step explanation:

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