Question

+ n(B) + n(C)
4. Let P = {x | x € N and x is a factor of 20) and Q = {x | Xe N and x is a factor of 32)
Then:
() find n(P) + 2 x n(0)
(ii) find 3 x n(P) + 4 X n(Q)​

Answer 1

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∣=2pq

HOPE it helps you and mark me as a braienlist and follow me