Question

1. Two sets A and B are said to be equal set if and only if:
(a) A+ B = B + A
(b) Ax B = BⓇA
(c) n(A) = n(B)
(d) ACB&BCA​

Answer 1

Answer:

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