Question

If A = {1,2,3} and B = {a,b}, then find the total number of relations between A and B.

• A. 16
• B. 4
• C. 32
• D. 64

Answer 1

The correct option is D 64

We know that, if n(A) = p, n(B) = q then, total number of relations between A and B is 2${}^{\text{pq}}$
Here, n(A) = 3, n(B) = 2
$\therefore$Total number of relations from A to B = 2${}^{(3\times 2)}$
= 2${}^6$
= 64