Question

IF A = {a,b,c} and B = {P, q, r} , then
find n(AXB)​

Answer 1

Answer:

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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Answer 2

Answer:

n(A×B)=3×3=9

Step-by-step explanation:

(a,P),(a,q),(a,r),(b,P),(b,q),(b,r),(c,r),(c,P),(c,q)

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