Question

If A = {1,2,3,4} and B = {x,y}, then find the total number of relations between A and B.

Answer 1

We know that, if n(A) = p, n(B) = q then, total number of relations between A and B is

Here, n(A) = 4, n(B) = 2

∴ Total number of relations from A to B $=2^{4\times 2}$

$=2^8$

$=256$