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

1.	If A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B ?1. 24 2. 26 3. 25 4. None of these
Answer» Correct Answer - Option 2 : 2⁶ 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.

If A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B ?1. 24 2. 26 3. 25 4. None of these

Answer» Correct Answer - Option 2 : 2⁶

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.

Discussion

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