Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B

Solution:

It is given that

A = {x, y, z}

and B = {1, 2}

Therefore,

A x B = {(x, 1), (x, 2), (y, 1), (y, 2), (z, 1), (z, 2)}

Since n (A x B) = 6,

the number of subsets of ( A x B)

= 2⁶.

Hence, the number of relations from A to B is 2⁶.

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.2 Question 8

Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.

Summary:

The sets A = {x, y, z} and B = {1, 2} are given. We have found that the number of relations from A to B is 2⁶