Question

A = {1,2,3} B ={3,0}.What is the relation from A to B ?​

Answer 1

Answer:

For given set A and B any relation must be subset of AXB,

AXB=((1,4),(1,5),(1,6),(2,4),(2,5),(2,6).(3,4),(3,5),(3,6))

In set((1,5),(2,6),(3,4),(3,6)) is a subset of  AXB .

hence, given set is a subset of AXB.

Hence it represent relation between A and B.

Answer 2

Answer:

Thank you to ask this question.

Well, it is a simple question, as you will see.

Given: A=(1,2,3), B=(a,b,c)

Number of elements, n(A)=3, & n(B)=3.

Then number of relations from A to B =n(A)*n(B)

Answer=3*3=9

As you can also crosscheck by forming pairs, AxB ={(1,a),(1,b),(1,c),(2,a),(2,b),(2,c),(3,a),(3,b),(3,c)}

If you are facing a problem in forming relations, then the picture below you can see, the elements are written as written then draw strainght lines through them, for vertical elements draw horizontal lines, and for horizontal elements draw vertical lines.

The point of intersections represent the order pair between the elements from which the lines have come up.

Hope this would have helped you.

Thank you

With Regards