Question

let A={x£w\x<4},B={x€prime numbers<10} c={x€N_<3} find AX(BUC) =(AXB)U(AXC)​

Answer 1

Step-by-step explanation:

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

Answer By