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

Question

Question

Answer 1

Concepts:

If A and B are two non-empty sets such that n(A) = p and n(B) = q then number of relations that can be defined from A to B = 2^pq

Calculation:

Given: A = {x, y, z} and B = {1, 2}

⇒ n(A) = 3 and n(B) = 2

As we know that, if A and B are two non-empty sets such that n(A) = p and n(B) = q then number of relations that can be defined from A to B = 2pq

Here, p = 3 and q = 2

So, the number of relations from A to B = 2⁶

Hence, option 2 is the correct answer.