Question

Let A = {1, 2} and B = {3, 4}. Find (i) A x B (ii) number of relations from A to B.

Answer 1

Step-by-step explanation:

Given:

Set A = {1, 2}

Set B = {3, 4}

Number of elements that are there in set A = 2

Number of elements that are there in set B = 2

To Find:

Number of relations from A to B.

Calculating:

Formula used for calculating the number of subsets of A x B:

= No of elements in set A x No of elements in set B

Substituting the values:

= 2 x 2

= 4

Formula that is used to calculate the number of relations:

Here, n is the number of subsets in A x B.

Putting the value of n in this formula we get:

= 16

Therefore, the number of relations from A to B is 16.