Question

Let A = (x, y, z) and B = (a, b). Find the total number of relations from A into B.

Answer 1

Given:
A = (x, y, z) and B = (a, b)
Now,
Number of elements in the Cartesian product of $A\mathrm{and}B=3\times 2=6$
Number of relations from A to B = $2^6=64$