Question

(10), (_, Y), J, ),
{(x,y) y = 2x x, y EN
If A = {a,b}, B = {x,y) and C = {a, c, y}, then verify AX(BUC)=(AXB)U(AXC):
AX(BOC) =(AXB) n(AXC) and (B-C)XA = (BXA)-(
CA)
State whether the following statements are true,​

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∣=2pq

Step-by-step explanation:

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