Question

Let A  {1, 2, 3, 4} and B  {x, y, z}. (a) List five functions
fromAtoB. (b)How many functions f : A→B are there?
(c) How many functions f : A→B are one-to-one? (d) How
many functions g: B →A are there? (e) How many functions
g: B →A are one-to-one? (f) How many functions f : A→B
satisfy f (1)  x? (g) How many functions f : A→B satisfy
f (1)  f (2)  x? (h) How many functions f : A→B satisfy
f (1)  x and f (2)  y?