Question

If A = {x, y, z}, B = {1, 2}, then the total number of relations from set A to set B are ______.

Options

• 8

• 64

• 32

• 16

Answer 1

If A = {x, y, z}, B = {1, 2}, then the total number of relations from set A to set B are 64.

Explanation:

Given, A = {x, y, z}

B = {1, 2}

n(A) = 3, n(B) = 2

∴ Number of relation from set A to set B is

`2^("n"("A") xx "n"("B")) = 2^(3 xx 2) = 2^6` = 64