How many possible functions are there from A to B and from B to A

Let 饾惔 = {1,2} and 饾惖 = {饾憥, 饾憦, 饾憪}. How many possible functions there are from 饾惔
to 饾惖? How many possible functions there are from 饾惖 to 饾惔?

Your answers are correct.

A to B: 3 choices for f(1), 3 choices for f(2) ... 3 脳 3 = 9
B to A: 2 choices for each of f(a), f(b), f(c) ... 2 脳 2 脳 2 = 8