Let A = (x, y, z) and B = (a, b).

Question:

Let A = (xyz) and B = (ab). Find the total number of relations from A into B.

Solution:

Given:

A = (xyz) and B = (ab)

Now,

Number of elements in the Cartesian product of $A$ and $B=3 \times 2=6$

Number of relations from $A$ to $B=2^{6}=64$